230365200 has 120 divisors (see below), whose sum is σ = 794754688. Its totient is φ = 56701440.

The previous prime is 230365159. The next prime is 230365207. The reversal of 230365200 is 2563032.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (230365207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8217 + ... + 22983.

Almost surely, 2^230365200 is an apocalyptic number.

230365200 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 230365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397377344).

230365200 is an abundant number, since it is smaller than the sum of its proper divisors (564389488).

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

230365200 is a wasteful number, since it uses less digits than its factorization.

230365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14790 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 230365200 is about 15177.7863998674. The cubic root of 230365200 is about 613.0166791197.

The spelling of 230365200 in words is "two hundred thirty million, three hundred sixty-five thousand, two hundred".