230230432080 has 320 divisors, whose sum is σ = 866853446400. Its totient is φ = 55700858880.

The previous prime is 230230432079. The next prime is 230230432087. The reversal of 230230432080 is 80234032032.

230230432080 is a `hidden beast` number, since 2 + 30 + 2 + 304 + 320 + 8 + 0 = 666.

230230432080 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230230432087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12084322 + ... + 12103358.

It is an arithmetic number, because the mean of its divisors is an integer number (2708917020).

Almost surely, 2^230230432080 is an apocalyptic number.

230230432080 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 230230432080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433426723200).

230230432080 is an abundant number, since it is smaller than the sum of its proper divisors (636623014320).

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

230230432080 is a wasteful number, since it uses less digits than its factorization.

230230432080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 230230432080 in words is "two hundred thirty billion, two hundred thirty million, four hundred thirty-two thousand, eighty".