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232213323320 = 235111493541997
BaseRepresentation
bin1101100001000011111…
…1100001111000111000
3211012101100100001200022
43120100333201320320
512301033102321240
6254402145230012
722530314452346
oct3302077417070
9735340301608
10232213323320
118a532404860
1239007932308
1318b890cc034
14b34c474996
15609154c9b5
hex3610fe1e38

232213323320 has 64 divisors (see below), whose sum is σ = 573803676000. Its totient is φ = 83874465280.

The previous prime is 232213323311. The next prime is 232213323323. The reversal of 232213323320 is 23323312232.

232213323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232213323320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705439 + ... + 1836558.

Almost surely, 2232213323320 is an apocalyptic number.

232213323320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213323320 is an abundant number, since it is smaller than the sum of its proper divisors (341590352680).

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

232213323320 is a wasteful number, since it uses less digits than its factorization.

232213323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542168 (or 3542164 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 232213323320 its reverse (23323312232), we get a palindrome (255536635552).

The spelling of 232213323320 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6556 8195 13112 16390 32780 65560 3541997 7083994 14167988 17709985 28335976 35419970 38961967 70839940 77923934 141679880 155847868 194809835 311695736 389619670 527757553 779239340 1055515106 1558478680 2111030212 2638787765 4222060424 5277575530 5805333083 10555151060 11610666166 21110302120 23221332332 29026665415 46442664664 58053330830 116106661660 232213323320