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230912000 = 212531141
BaseRepresentation
bin11011100001101…
…11000000000000
3121002111112201022
431300313000000
5433103141000
634525125012
75502501554
oct1560670000
9532445638
10230912000
11109386670
12653b9768
1338abb427
142294b864
1515413585
hexdc37000

230912000 has 208 divisors, whose sum is σ = 644009184. Its totient is φ = 81920000.

The previous prime is 230911913. The next prime is 230912051. The reversal of 230912000 is 219032.

It is a self number, because there is not a number n which added to its sum of digits gives 230912000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631980 + ... + 5632020.

It is an arithmetic number, because the mean of its divisors is an integer number (3096198).

Almost surely, 2230912000 is an apocalyptic number.

230912000 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 230912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322004592).

230912000 is an abundant number, since it is smaller than the sum of its proper divisors (413097184).

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

230912000 is an equidigital number, since it uses as much as digits as its factorization.

230912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 230912000 is about 15195.7888903472. The cubic root of 230912000 is about 613.5013192455.

The spelling of 230912000 in words is "two hundred thirty million, nine hundred twelve thousand".