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220212323001104 = 24719599718081991
BaseRepresentation
bin110010000100100000101101…
…010010011010001100010000
31001212201002111102021120021212
4302010200231102122030100
5212330424314142013404
62100204051122235252
764245546436145360
oct6204405522321420
91055632442246255
10220212323001104
1164191581457715
12208467594b5b28
1395b4c189187c5
143c544948209a0
151a6d36416e06e
hexc8482d49a310

220212323001104 has 160 divisors (see below), whose sum is σ = 527357680281600. Its totient is φ = 86987969556480.

The previous prime is 220212323000987. The next prime is 220212323001107. The reversal of 220212323001104 is 401100323212022.

It is a self number, because there is not a number n which added to its sum of digits gives 220212323001104.

It is not an unprimeable number, because it can be changed into a prime (220212323001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3137549 + ... + 21219539.

It is an arithmetic number, because the mean of its divisors is an integer number (3295985501760).

Almost surely, 2220212323001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212323001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263678840140800).

220212323001104 is an abundant number, since it is smaller than the sum of its proper divisors (307145357280496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220212323001104 is a wasteful number, since it uses less digits than its factorization.

220212323001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082181 (or 18082175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 220212323001104 its reverse (401100323212022), we get a palindrome (621312646213126).

The spelling of 220212323001104 in words is "two hundred twenty trillion, two hundred twelve billion, three hundred twenty-three million, one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 97 112 118 133 152 194 236 266 304 388 413 472 532 679 776 826 944 1064 1121 1358 1552 1652 1843 2128 2242 2716 3304 3686 4484 5432 5723 6608 7372 7847 8968 10864 11446 12901 14744 15694 17936 22892 25802 29488 31388 40061 45784 51604 62776 80122 91568 103208 108737 125552 160244 206416 217474 320488 434948 640976 761159 869896 1522318 1739792 3044636 6089272 12178544 18081991 36163982 72327964 126573937 144655928 253147874 289311856 343557829 506295748 687115658 1012591496 1066837469 1374231316 1753953127 2025182992 2133674938 2404904803 2748462632 3507906254 4267349876 4809809606 5496925264 7015812508 7467862283 8534699752 9619619212 12277671889 14031625016 14935724566 17069399504 19239238424 20269911911 24555343778 28063250032 29871449132 33325109413 38478476848 40539823822 49110687556 59742898264 66650218826 81079647644 98221375112 103483234493 119485796528 133300437652 141889383377 162159295288 196442750224 206966468986 233275765891 266600875304 283778766754 324318590576 413932937972 466551531782 533201750608 567557533508 724382641451 827865875944 933103063564 1135115067016 1448765282902 1655731751888 1866206127128 1966181455367 2270230134032 2897530565804 3732412254256 3932362910734 5795061131608 7864725821468 11590122263216 13763270187569 15729451642936 27526540375138 31458903285872 55053080750276 110106161500552 220212323001104