230233399200 has 864 divisors, whose sum is σ = 965188224000. Its totient is φ = 51602503680.

The previous prime is 230233399157. The next prime is 230233399217. The reversal of 230233399200 is 2993332032.

230233399200 is a `hidden beast` number, since 2 + 30 + 2 + 33 + 399 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130887921 + ... + 130889679.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116000).

Almost surely, 2^230233399200 is an apocalyptic number.

230233399200 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 230233399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112000).

230233399200 is an abundant number, since it is smaller than the sum of its proper divisors (734954824800).

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

230233399200 is a wasteful number, since it uses less digits than its factorization.

230233399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 230233399200 in words is "two hundred thirty billion, two hundred thirty-three million, three hundred ninety-nine thousand, two hundred".