230875200 has 126 divisors (see below), whose sum is σ = 820636154. Its totient is φ = 61562880.

The previous prime is 230875187. The next prime is 230875217. The reversal of 230875200 is 2578032.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 227889216 = 1728^2 + 15096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6384 + ... + 22416.

Almost surely, 2^230875200 is an apocalyptic number.

230875200 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 230875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410318077).

230875200 is an abundant number, since it is smaller than the sum of its proper divisors (589760954).

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

230875200 is a wasteful number, since it uses less digits than its factorization.

230875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16061 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 230875200 is about 15194.5779803192. The cubic root of 230875200 is about 613.4687266735.

The spelling of 230875200 in words is "two hundred thirty million, eight hundred seventy-five thousand, two hundred".