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232088320000 = 21154315849
BaseRepresentation
bin1101100000100110001…
…0101011100000000000
3211012001122010020100201
43120021202223200000
512300304102220000
6254341522054544
722524236112235
oct3301142534000
9735048106321
10232088320000
118a478895a29
1238b91aaa454
1318b69242984
14b339a1578c
1560855a996a
hex36098ab800

232088320000 has 240 divisors, whose sum is σ = 598702104000. Its totient is φ = 89825280000.

The previous prime is 232088319961. The next prime is 232088320033. The reversal of 232088320000 is 23880232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39677076 + ... + 39682924.

It is an arithmetic number, because the mean of its divisors is an integer number (2494592100).

Almost surely, 2232088320000 is an apocalyptic number.

232088320000 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 232088320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299351052000).

232088320000 is an abundant number, since it is smaller than the sum of its proper divisors (366613784000).

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

232088320000 is an frugal number, since it uses more digits than its factorization.

232088320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 232088320000 in words is "two hundred thirty-two billion, eighty-eight million, three hundred twenty thousand".