230193600 has 672 divisors, whose sum is σ = 1015934976. Its totient is φ = 44236800.

The previous prime is 230193599. The next prime is 230193629. The reversal of 230193600 is 6391032.

230193600 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 (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7425585 + ... + 7425615.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^230193600 is an apocalyptic number.

230193600 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 230193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

230193600 is an abundant number, since it is smaller than the sum of its proper divisors (785741376).

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

230193600 is a wasteful number, since it uses less digits than its factorization.

230193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 230193600 is about 15172.1323484868. The cubic root of 230193600 is about 612.8644284142.

The spelling of 230193600 in words is "two hundred thirty million, one hundred ninety-three thousand, six hundred".