230947200 has 432 divisors, whose sum is σ = 933517260. Its totient is φ = 55987200.

The previous prime is 230947153. The next prime is 230947201. The reversal of 230947200 is 2749032.

230947200 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 (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230947201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20995195 + ... + 20995205.

Almost surely, 2^230947200 is an apocalyptic number.

230947200 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 230947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466758630).

230947200 is an abundant number, since it is smaller than the sum of its proper divisors (702570060).

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

230947200 is an frugal number, since it uses more digits than its factorization.

230947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230947200 is about 15196.9470618279. The cubic root of 230947200 is about 613.5324915091.

The spelling of 230947200 in words is "two hundred thirty million, nine hundred forty-seven thousand, two hundred".