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238085568 = 263127
BaseRepresentation
bin11100011000011…
…10010111000000
3121121000000000000
432030032113000
5441422214233
635343000000
75620460010
oct1614162700
9547000000
10238085568
11112436236
1267899000
133a430646
1423897c40
1515d7dd13
hexe30e5c0

238085568 has 182 divisors, whose sum is σ = 809915576. Its totient is φ = 68024448.

The previous prime is 238085521. The next prime is 238085609. The reversal of 238085568 is 865580832.

It is a happy number.

238085568 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 85 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 34012221 + ... + 34012227.

Almost surely, 2238085568 is an apocalyptic number.

238085568 is a gapful number since it is divisible by the number (28) 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 238085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404957788).

238085568 is an abundant number, since it is smaller than the sum of its proper divisors (571830008).

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

238085568 is an frugal number, since it uses more digits than its factorization.

238085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 238085568 is about 15430.0216461287. The cubic root of 238085568 is about 619.7897032183.

The spelling of 238085568 in words is "two hundred thirty-eight million, eighty-five thousand, five hundred sixty-eight".