230387200 has 120 divisors (see below), whose sum is σ = 586056240. Its totient is φ = 89702400.

The previous prime is 230387191. The next prime is 230387203. The reversal of 230387200 is 2783032.

It is a happy number.

230387200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230387203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524581 + ... + 525019.

It is an arithmetic number, because the mean of its divisors is an integer number (4883802).

Almost surely, 2^230387200 is an apocalyptic number.

230387200 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 230387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293028120).

230387200 is an abundant number, since it is smaller than the sum of its proper divisors (355669040).

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

230387200 is an equidigital number, since it uses as much as digits as its factorization.

230387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 230387200 is about 15178.5111259306. The cubic root of 230387200 is about 613.0361929723.

The spelling of 230387200 in words is "two hundred thirty million, three hundred eighty-seven thousand, two hundred".