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232082099000 = 23532941474153
BaseRepresentation
bin1101100000100100101…
…0111100101100111000
3211012001012102011202022
43120021022330230320
512300301004132000
6254341140454012
722524132202223
oct3301112745470
9735035364668
10232082099000
118a475327004
1238b8b9aa308
1318b67b751cb
14b338c765ba
156084c7b585
hex36092bcb38

232082099000 has 256 divisors, whose sum is σ = 587887372800. Its totient is φ = 85564416000.

The previous prime is 232082098999. The next prime is 232082099017. The reversal of 232082099000 is 990280232.

232082099000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4817492-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55880924 + ... + 55885076.

It is an arithmetic number, because the mean of its divisors is an integer number (2296435050).

Almost surely, 2232082099000 is an apocalyptic number.

232082099000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232082099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293943686400).

232082099000 is an abundant number, since it is smaller than the sum of its proper divisors (355805273800).

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

232082099000 is a wasteful number, since it uses less digits than its factorization.

232082099000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 232082099000 in words is "two hundred thirty-two billion, eighty-two million, ninety-nine thousand".