Search a number
-
+
22022122100202 = 23272347161682467
BaseRepresentation
bin1010000000111011011001…
…10000111101010111101010
32212222021221112221111002100
411000131230300331113222
510341302301224201302
6114500453452314230
74432021500204630
oct500355460752752
985867845844070
1022022122100202
1170205908a0164
122578050172976
13c398a5a7ac13
14561c3ab93350
15282ca505ed1c
hex14076cc3d5ea

22022122100202 has 96 divisors (see below), whose sum is σ = 58112559378432. Its totient is φ = 5890415601312.

The previous prime is 22022122100161. The next prime is 22022122100239. The reversal of 22022122100202 is 20200122122022.

22022122100202 is a `hidden beast` number, since 2 + 20 + 221 + 221 + 0 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80705028 + ... + 80977439.

It is an arithmetic number, because the mean of its divisors is an integer number (605339160192).

Almost surely, 222022122100202 is an apocalyptic number.

22022122100202 is an abundant number, since it is smaller than the sum of its proper divisors (36090437278230).

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

22022122100202 is a wasteful number, since it uses less digits than its factorization.

22022122100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161682552 (or 161682549 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022122100202 its reverse (20200122122022), we get a palindrome (42222244222224).

The spelling of 22022122100202 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 47 63 69 94 126 138 141 161 207 282 322 329 414 423 483 658 846 966 987 1081 1449 1974 2162 2898 2961 3243 5922 6486 7567 9729 15134 19458 22701 45402 68103 136206 161682467 323364934 485047401 970094802 1131777269 1455142203 2263554538 2910284406 3395331807 3718696741 6790663614 7437393482 7599075949 10185995421 11156090223 15198151898 20371990842 22312180446 22797227847 26030877187 33468270669 45594455694 52061754374 53193531643 66936541338 68391683541 78092631561 106387063286 136783367082 156185263122 159580594929 174778746827 234277894683 319161189858 349557493654 468555789366 478741784787 524336240481 957483569574 1048672480962 1223451227789 1573008721443 2446902455578 3146017442886 3670353683367 7340707366734 11011061050101 22022122100202