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230706608832 = 2633731289223
BaseRepresentation
bin1101011011011100101…
…1110111101011000000
3211001111100012000222000
43112313023313223000
512234441342440312
6253552443144000
722445060550630
oct3266713675300
9731440160860
10230706608832
1189929958977
1238867215000
13189a8bc87bb
14b2483046c0
156004128adc
hex35b72f7ac0

230706608832 has 672 divisors, whose sum is σ = 813567283200. Its totient is φ = 62790266880.

The previous prime is 230706608827. The next prime is 230706608857. The reversal of 230706608832 is 238806607032.

230706608832 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 0 + 6 + 608 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2307066088322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034558673 + ... + 1034558895.

It is an arithmetic number, because the mean of its divisors is an integer number (1210665600).

Almost surely, 2230706608832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230706608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406783641600).

230706608832 is an abundant number, since it is smaller than the sum of its proper divisors (582860674368).

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

230706608832 is a wasteful number, since it uses less digits than its factorization.

230706608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 230706608832 in words is "two hundred thirty billion, seven hundred six million, six hundred eight thousand, eight hundred thirty-two".