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230256404 = 227232912329
BaseRepresentation
bin11011011100101…
…10111100010100
3121001021020101222
431232112330110
5432421201104
634503105512
75464101320
oct1556267424
9531236358
10230256404
11108a79054
1265142298
133891bbc1
142281a980
15153341be
hexdb96f14

230256404 has 48 divisors (see below), whose sum is σ = 497145600. Its totient is φ = 91128576.

The previous prime is 230256391. The next prime is 230256413. The reversal of 230256404 is 404652032.

230256404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302564042 = 106036023166022432, which contains 22 as substring.

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, 12512 + ... + 24840.

It is an arithmetic number, because the mean of its divisors is an integer number (10357200).

Almost surely, 2230256404 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 230256404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248572800).

230256404 is an abundant number, since it is smaller than the sum of its proper divisors (266889196).

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

230256404 is a wasteful number, since it uses less digits than its factorization.

230256404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 230256404 is about 15174.2019230008. The cubic root of 230256404 is about 612.9201595287.

The spelling of 230256404 in words is "two hundred thirty million, two hundred fifty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 812 1334 2668 4669 9338 12329 18676 24658 49316 86303 172606 283567 345212 357541 567134 715082 1134268 1430164 1984969 2502787 3969938 5005574 7939876 8223443 10011148 16446886 32893772 57564101 115128202 230256404