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233074368 = 26331931229
BaseRepresentation
bin11011110010001…
…10111011000000
3121020120101221000
431321012323000
5434131334433
635043332000
75530046052
oct1571067300
9536511830
10233074368
1110a62324a
1266081000
1339397737
1422d518d2
15156de113
hexde46ec0

233074368 has 224 divisors, whose sum is σ = 747776000. Its totient is φ = 70917120.

The previous prime is 233074321. The next prime is 233074379. The reversal of 233074368 is 863470332.

233074368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330743682 = 108647322037198848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017678 + ... + 1017906.

Almost surely, 2233074368 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 233074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373888000).

233074368 is an abundant number, since it is smaller than the sum of its proper divisors (514701632).

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

233074368 is a wasteful number, since it uses less digits than its factorization.

233074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 233074368 is about 15266.7733329607. The cubic root of 233074368 is about 615.4104101752.

The spelling of 233074368 in words is "two hundred thirty-three million, seventy-four thousand, three hundred sixty-eight".