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230360256 = 26327193197
BaseRepresentation
bin11011011101100…
…00010011000000
3121001110111212100
431232300103000
5432433012011
634505230400
75465013150
oct1556602300
9531414770
10230360256
1110903a085
1265192400
1338957259
1422846760
1515354d56
hexdbb04c0

230360256 has 336 divisors, whose sum is σ = 828405760. Its totient is φ = 59719680.

The previous prime is 230360233. The next prime is 230360257. The reversal of 230360256 is 652063032.

230360256 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 602 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (230360257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374800 + ... + 2374896.

Almost surely, 2230360256 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 230360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414202880).

230360256 is an abundant number, since it is smaller than the sum of its proper divisors (598045504).

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

230360256 is a wasteful number, since it uses less digits than its factorization.

230360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 230360256 is about 15177.6235293935. The cubic root of 230360256 is about 613.0122936539.

The spelling of 230360256 in words is "two hundred thirty million, three hundred sixty thousand, two hundred fifty-six".