230564200 has 72 divisors (see below), whose sum is σ = 569592450. Its totient is φ = 86778880.

The previous prime is 230564189. The next prime is 230564203. The reversal of 230564200 is 2465032.

It is a happy number.

230564200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 59320804 + 171243396 = 7702^2 + 13086^2 .

It is not an unprimeable number, because it can be changed into a prime (230564203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55806 + ... + 59794.

Almost surely, 2^230564200 is an apocalyptic number.

230564200 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 230564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284796225).

230564200 is an abundant number, since it is smaller than the sum of its proper divisors (339028250).

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

230564200 is a wasteful number, since it uses less digits than its factorization.

230564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 230564200 is about 15184.3406178866. The cubic root of 230564200 is about 613.1931456014.

The spelling of 230564200 in words is "two hundred thirty million, five hundred sixty-four thousand, two hundred".