230335747200 has 960 divisors, whose sum is σ = 969459903720. Its totient is φ = 53349580800.

The previous prime is 230335747189. The next prime is 230335747219. The reversal of 230335747200 is 2747533032.

230335747200 is a `hidden beast` number, since 2 + 30 + 33 + 574 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1017354816 + 229318392384 = 31896^2 + 478872^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57281190 + ... + 57285210.

Almost surely, 2^230335747200 is an apocalyptic number.

230335747200 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 230335747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484729951860).

230335747200 is an abundant number, since it is smaller than the sum of its proper divisors (739124156520).

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

230335747200 is a wasteful number, since it uses less digits than its factorization.

230335747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 230335747200 in words is "two hundred thirty billion, three hundred thirty-five million, seven hundred forty-seven thousand, two hundred".