230930746200 has 768 divisors, whose sum is σ = 1043933184000. Its totient is φ = 45458496000.

The previous prime is 230930746183. The next prime is 230930746213. The reversal of 230930746200 is 2647039032.

It is a happy number.

230930746200 is a `hidden beast` number, since 2 + 309 + 307 + 46 + 2 + 0 + 0 = 666.

230930746200 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7885585 + ... + 7914815.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288000).

Almost surely, 2^230930746200 is an apocalyptic number.

230930746200 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 230930746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521966592000).

230930746200 is an abundant number, since it is smaller than the sum of its proper divisors (813002437800).

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

230930746200 is a wasteful number, since it uses less digits than its factorization.

230930746200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29293 (or 29278 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 230930746200 in words is "two hundred thirty billion, nine hundred thirty million, seven hundred forty-six thousand, two hundred".