230257200 has 120 divisors (see below), whose sum is σ = 776488000. Its totient is φ = 58164480.

The previous prime is 230257199. The next prime is 230257241. The reversal of 230257200 is 2752032.

230257200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17751 + ... + 27849.

Almost surely, 2^230257200 is an apocalyptic number.

230257200 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 230257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388244000).

230257200 is an abundant number, since it is smaller than the sum of its proper divisors (546230800).

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

230257200 is a wasteful number, since it uses less digits than its factorization.

230257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10139 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 230257200 is about 15174.2281517051. The cubic root of 230257200 is about 612.9208658194.

The spelling of 230257200 in words is "two hundred thirty million, two hundred fifty-seven thousand, two hundred".