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232253838152 = 237210122412
BaseRepresentation
bin1101100001001101101…
…0000101001101001000
3211012111011120102120122
43120103122011031020
512301123440310102
6254410153442412
722531316023400
oct3302332051510
9735434512518
10232253838152
118a553267196
1239019410408
1318b94615ccb
14b3539bd800
156094da20a2
hex3613685348

232253838152 has 108 divisors (see below), whose sum is σ = 513771097995. Its totient is φ = 98142912000.

The previous prime is 232253838139. The next prime is 232253838191. The reversal of 232253838152 is 251838352232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 231278275396 + 975562756 = 480914^2 + 31234^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340774.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 963708752 + ... + 963708992.

Almost surely, 2232253838152 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 232253838152

232253838152 is an abundant number, since it is smaller than the sum of its proper divisors (281517259843).

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

232253838152 is an equidigital number, since it uses as much as digits as its factorization.

232253838152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 351 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The spelling of 232253838152 in words is "two hundred thirty-two billion, two hundred fifty-three million, eight hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 241 392 404 482 707 808 964 1414 1687 1928 2828 3374 4949 5656 6748 9898 10201 11809 13496 19796 20402 23618 24341 39592 40804 47236 48682 58081 71407 81608 94472 97364 116162 142814 170387 194728 232324 285628 340774 406567 464648 499849 571256 681548 813134 999698 1192709 1363096 1626268 1999396 2385418 2458441 2845969 3252536 3998792 4770836 4916882 5691938 5866181 9541672 9833764 11383876 11732362 17209087 19667528 22767752 23464724 34418174 41063267 46929448 68836348 82126534 120463609 137672696 164253068 240927218 287442869 328506136 481854436 574885738 592484281 963708872 1149771476 1184968562 2299542952 2369937124 4147389967 4739874248 8294779934 16589559868 29031729769 33179119736 58063459538 116126919076 232253838152