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232356640056 = 233437313922189
BaseRepresentation
bin1101100001100110001…
…0001111010100111000
3211012202100000022021120
43120121202033110320
512301331244440211
6254424305105240
722534004565402
oct3303142172470
9735670008246
10232356640056
118a5a62a1842
1239047928220
1318bac9cac38
14b3634ddb72
15609de0bd06
hex361988f538

232356640056 has 128 divisors (see below), whose sum is σ = 606905376000. Its totient is φ = 74074549248.

The previous prime is 232356640049. The next prime is 232356640069. The reversal of 232356640056 is 650046653232.

It is a super-2 number, since 2×2323566400562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 10460610 + ... + 10482798.

It is an arithmetic number, because the mean of its divisors is an integer number (4741448250).

Almost surely, 2232356640056 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 232356640056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303452688000).

232356640056 is an abundant number, since it is smaller than the sum of its proper divisors (374548735944).

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

232356640056 is a wasteful number, since it uses less digits than its factorization.

232356640056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22453 (or 22449 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 232356640056 in words is "two hundred thirty-two billion, three hundred fifty-six million, six hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 139 146 172 219 258 278 292 344 417 438 516 556 584 834 876 1032 1112 1668 1752 3139 3336 5977 6278 9417 10147 11954 12556 17931 18834 20294 22189 23908 25112 30441 35862 37668 40588 44378 47816 60882 66567 71724 75336 81176 88756 121764 133134 143448 177512 243528 266268 436321 532536 872642 954127 1308963 1619797 1745284 1908254 2617926 2862381 3084271 3239594 3490568 3816508 4859391 5235852 5724762 6168542 6479188 7633016 9252813 9718782 10471704 11449524 12337084 12958376 18505626 19437564 22899048 24674168 37011252 38875128 69651271 74022504 132623653 139302542 208953813 225151783 265247306 278605084 397870959 417907626 450303566 530494612 557210168 675455349 795741918 835815252 900607132 1060989224 1350910698 1591483836 1671630504 1801214264 2701821396 3182967672 5403642792 9681526669 19363053338 29044580007 38726106676 58089160014 77452213352 116178320028 232356640056