230927200 has 216 divisors, whose sum is σ = 675941112. Its totient is φ = 76769280.

The previous prime is 230927189. The next prime is 230927219. The reversal of 230927200 is 2729032.

230927200 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1685532 + ... + 1685668.

It is an arithmetic number, because the mean of its divisors is an integer number (3129357).

Almost surely, 2^230927200 is an apocalyptic number.

230927200 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 230927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337970556).

230927200 is an abundant number, since it is smaller than the sum of its proper divisors (445013912).

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

230927200 is a wasteful number, since it uses less digits than its factorization.

230927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 230927200 is about 15196.2890206787. The cubic root of 230927200 is about 613.5147803843.

The spelling of 230927200 in words is "two hundred thirty million, nine hundred twenty-seven thousand, two hundred".