Search a number
-
+
3225256525224 = 23321716316165727
BaseRepresentation
bin101110111011110000010…
…001001111110110101000
3102102022221200011101012200
4232323300101033312220
5410320311132301344
610505355024340200
7452005602062316
oct56736021176650
912368850141180
103225256525224
111033907254118
124410aba74660
131a51a9571056
14b21634590b6
1558d6a15d069
hex2eef044fda8

3225256525224 has 96 divisors (see below), whose sum is σ = 9305639665920. Its totient is φ = 1005637483008.

The previous prime is 3225256525219. The next prime is 3225256525237. The reversal of 3225256525224 is 4225256525223.

3225256525224 is a `hidden beast` number, since 3 + 2 + 2 + 52 + 56 + 525 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3225256525224.

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 23 ways as a sum of consecutive naturals, for example, 7883352 + ... + 8282375.

It is an arithmetic number, because the mean of its divisors is an integer number (96933746520).

Almost surely, 23225256525224 is an apocalyptic number.

3225256525224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3225256525224 is an abundant number, since it is smaller than the sum of its proper divisors (6080383140696).

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

3225256525224 is a wasteful number, since it uses less digits than its factorization.

3225256525224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165919 (or 16165912 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

Subtracting 3225256525224 from its reverse (4225256525223), we obtain a palindrome (999999999999).

The spelling of 3225256525224 in words is "three trillion, two hundred twenty-five billion, two hundred fifty-six million, five hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 163 204 306 326 408 489 612 652 978 1224 1304 1467 1956 2771 2934 3912 5542 5868 8313 11084 11736 16626 22168 24939 33252 49878 66504 99756 199512 16165727 32331454 48497181 64662908 96994362 129325816 145491543 193988724 274817359 290983086 387977448 549634718 581966172 824452077 1099269436 1163932344 1648904154 2198538872 2473356231 2635013501 3297808308 4946712462 5270027002 6595616616 7905040503 9893424924 10540054004 15810081006 19786849848 21080108008 23715121509 31620162012 44795229517 47430243018 63240324024 89590459034 94860486036 134385688551 179180918068 189720972072 268771377102 358361836136 403157065653 537542754204 806314131306 1075085508408 1612628262612 3225256525224