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230538528 = 253311127191
BaseRepresentation
bin11011011110110…
…11110100100000
3121001210120102000
431233123310200
5433004213103
634513124000
75466354663
oct1557336440
9531716360
10230538528
11109151010
1265259600
13389ba43c
14228916da
151538caa3
hexdbdbd20

230538528 has 192 divisors, whose sum is σ = 743178240. Its totient is φ = 68947200.

The previous prime is 230538493. The next prime is 230538541. The reversal of 230538528 is 825835032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230538492 and 230538501.

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, 1206913 + ... + 1207103.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2230538528 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 230538528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

230538528 is an abundant number, since it is smaller than the sum of its proper divisors (512639712).

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

230538528 is a wasteful number, since it uses less digits than its factorization.

230538528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 230538528 is about 15183.4952497770. The cubic root of 230538528 is about 613.1703862445.

The spelling of 230538528 in words is "two hundred thirty million, five hundred thirty-eight thousand, five hundred twenty-eight".