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230826816 = 263211172143
BaseRepresentation
bin11011100001000…
…10001101000000
3121002100012212100
431300202031000
5433042424231
634523230400
75501665323
oct1560421500
9532305770
10230826816
11109328670
1265378400
1338a8b71c
14229287ba
15153e81e6
hexdc22340

230826816 has 168 divisors, whose sum is σ = 764584704. Its totient is φ = 65802240.

The previous prime is 230826797. The next prime is 230826857. The reversal of 230826816 is 618628032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106641 + ... + 108783.

Almost surely, 2230826816 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 230826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382292352).

230826816 is an abundant number, since it is smaller than the sum of its proper divisors (533757888).

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

230826816 is a wasteful number, since it uses less digits than its factorization.

230826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230826816 is about 15192.9857500098. The cubic root of 230826816 is about 613.4258692559.

The spelling of 230826816 in words is "two hundred thirty million, eight hundred twenty-six thousand, eight hundred sixteen".