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232522225355040 = 25351014796250523
BaseRepresentation
bin110100110111101001001100…
…101001010000100100100000
31010111021220111200022101201220
4310313221030221100210200
5220434121004142330130
62142311122523255040
766656114335546065
oct6467511451204440
91114256450271656
10232522225355040
11680a81384098a5
12220b444697a480
139c989a08261ca
14415c1c8726c6c
151bd3683c6e410
hexd37a4ca50920

232522225355040 has 96 divisors (see below), whose sum is σ = 739696940813376. Its totient is φ = 61392006681600.

The previous prime is 232522225355033. The next prime is 232522225355041. The reversal of 232522225355040 is 40553522225232.

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

It is a junction number, because it is equal to n+sod(n) for n = 232522225354983 and 232522225355001.

It is not an unprimeable number, because it can be changed into a prime (232522225355041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398076782 + ... + 2398173741.

It is an arithmetic number, because the mean of its divisors is an integer number (7705176466806).

Almost surely, 2232522225355040 is an apocalyptic number.

232522225355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232522225355040 is an abundant number, since it is smaller than the sum of its proper divisors (507174715458336).

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

232522225355040 is a wasteful number, since it uses less digits than its factorization.

232522225355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796250642 (or 4796250634 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 232522225355040 in words is "two hundred thirty-two trillion, five hundred twenty-two billion, two hundred twenty-five million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480 4796250523 9592501046 14388751569 19185002092 23981252615 28777503138 38370004184 47962505230 57555006276 71943757845 76740008368 95925010460 115110012552 143887515690 153480016736 191850020920 230220025104 287775031380 383700041840 460440050208 484421302823 575550062760 767400083680 968842605646 1151100125520 1453263908469 1937685211292 2302200251040 2422106514115 2906527816938 3875370422584 4844213028230 5813055633876 7266319542345 7750740845168 9688426056460 11626111267752 14532639084690 15501481690336 19376852112920 23252222535504 29065278169380 38753704225840 46504445071008 58130556338760 77507408451680 116261112677520 232522225355040