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230916000 = 2535372749
BaseRepresentation
bin11011100001101…
…11111110100000
3121002111202012110
431300313332200
5433103303000
634525155320
75502516330
oct1560677640
9532452173
10230916000
11109389677
12653bbb40
1338ac01b3
142294d0c0
1515414850
hexdc37fa0

230916000 has 192 divisors, whose sum is σ = 864864000. Its totient is φ = 52761600.

The previous prime is 230915989. The next prime is 230916013. The reversal of 230916000 is 619032.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 82626 + ... + 85374.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2230916000 is an apocalyptic number.

230916000 is a gapful number since it is divisible by the number (20) 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 230916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432000).

230916000 is an abundant number, since it is smaller than the sum of its proper divisors (633948000).

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

230916000 is a wasteful number, since it uses less digits than its factorization.

230916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 230916000 is about 15195.9205051882. The cubic root of 230916000 is about 613.5048617077.

The spelling of 230916000 in words is "two hundred thirty million, nine hundred sixteen thousand".