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241214021220 = 223523318154949
BaseRepresentation
bin1110000010100101111…
…0011101111001100100
3212001121121201220000210
43200221132131321210
512423001242134340
6302451233335420
723266336231164
oct3405136357144
9761547656023
10241214021220
1193331032367
123a8ba107570
1319991a64b93
14b9639cc5a4
15641b816180
hex382979de64

241214021220 has 96 divisors (see below), whose sum is σ = 704998828800. Its totient is φ = 61506593280.

The previous prime is 241214021179. The next prime is 241214021261. The reversal of 241214021220 is 22120412142.

241214021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241214021179) and next prime (241214021261).

It is a super-2 number, since 2×2412140212202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4362306 + ... + 4417254.

It is an arithmetic number, because the mean of its divisors is an integer number (7343737800).

Almost surely, 2241214021220 is an apocalyptic number.

241214021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241214021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352499414400).

241214021220 is an abundant number, since it is smaller than the sum of its proper divisors (463784807580).

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

241214021220 is a wasteful number, since it uses less digits than its factorization.

241214021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58165 (or 58163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 241214021220 its reverse (22120412142), we get a palindrome (263334433362).

The spelling of 241214021220 in words is "two hundred forty-one billion, two hundred fourteen million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3181 6362 9543 12724 15905 19086 31810 38172 47715 54949 63620 73163 95430 109898 146326 164847 190860 219489 219796 274745 292652 329694 365815 438978 549490 659388 731630 824235 877956 1097445 1098980 1263827 1463260 1648470 2194890 2527654 3296940 3791481 4389780 5055308 6319135 7582962 12638270 15165924 18957405 25276540 37914810 75829620 174792769 349585538 524378307 699171076 873963845 1048756614 1747927690 2097513228 2621891535 3495855380 4020233687 5243783070 8040467374 10487566140 12060701061 16080934748 20101168435 24121402122 40202336870 48242804244 60303505305 80404673740 120607010610 241214021220