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232322713120416 = 25319496725643227
BaseRepresentation
bin110100110100101111011000…
…110010011110111010100000
31010110120211112022211202112210
4310310233120302132322200
5220422333404024323131
62142035325255522120
766635522256541422
oct6464573062367240
91113524468752483
10232322713120416
1168030566a08a86
1222081846689340
139c82c265973c9
14415269d334812
151bcd3a8548146
hexd34bd8c9eea0

232322713120416 has 96 divisors (see below), whose sum is σ = 642073605788160. Its totient is φ = 73350293942016.

The previous prime is 232322713120327. The next prime is 232322713120429. The reversal of 232322713120416 is 614021317223232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2323227131204162 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761806 + ... + 21881421.

It is an arithmetic number, because the mean of its divisors is an integer number (6688266726960).

Almost surely, 2232322713120416 is an apocalyptic number.

It is an amenable number.

232322713120416 is an abundant number, since it is smaller than the sum of its proper divisors (409750892667744).

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

232322713120416 is a wasteful number, since it uses less digits than its factorization.

232322713120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648226 (or 25648218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 232322713120416 in words is "two hundred thirty-two trillion, three hundred twenty-two billion, seven hundred thirteen million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4967 9934 14901 19868 29802 39736 59604 79472 94373 119208 158944 188746 238416 283119 377492 476832 566238 754984 1132476 1509968 2264952 3019936 4529904 9059808 25643227 51286454 76929681 102572908 153859362 205145816 307718724 410291632 487221313 615437448 820583264 974442626 1230874896 1461663939 1948885252 2461749792 2923327878 3897770504 5846655756 7795541008 11693311512 15591082016 23386623024 46773246048 127369908509 254739817018 382109725527 509479634036 764219451054 1018959268072 1528438902108 2037918536144 2420028261671 3056877804216 4075837072288 4840056523342 6113755608432 7260084785013 9680113046684 12227511216864 14520169570026 19360226093368 29040339140052 38720452186736 58080678280104 77440904373472 116161356560208 232322713120416