230937913600 has 81 divisors (see below), whose sum is σ = 571702592937. Its totient is φ = 92359787520.

The previous prime is 230937913489. The next prime is 230937913607. The reversal of 230937913600 is 6319739032.

The square root of 230937913600 is 480560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83137648896 + 147800264704 = 288336^2 + 384448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230937913607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38441797 + ... + 38447803.

Almost surely, 2^230937913600 is an apocalyptic number.

230937913600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230937913600 is the 480560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230937913600

230937913600 is an abundant number, since it is smaller than the sum of its proper divisors (340764679337).

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

230937913600 is an frugal number, since it uses more digits than its factorization.

230937913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

The spelling of 230937913600 in words is "two hundred thirty billion, nine hundred thirty-seven million, nine hundred thirteen thousand, six hundred".