230755200 has 288 divisors, whose sum is σ = 837993240. Its totient is φ = 55480320.

The previous prime is 230755139. The next prime is 230755201. The reversal of 230755200 is 2557032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230755201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5366379 + ... + 5366421.

Almost surely, 2^230755200 is an apocalyptic number.

230755200 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 230755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418996620).

230755200 is an abundant number, since it is smaller than the sum of its proper divisors (607238040).

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

230755200 is a wasteful number, since it uses less digits than its factorization.

230755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 230755200 is about 15190.6286900839. The cubic root of 230755200 is about 613.3624224809.

The spelling of 230755200 in words is "two hundred thirty million, seven hundred fifty-five thousand, two hundred".