230613180 has 96 divisors (see below), whose sum is σ = 770079744. Its totient is φ = 50417664.

The previous prime is 230613121. The next prime is 230613197. The reversal of 230613180 is 81316032.

230613180 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

230613180 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 230613180.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2277 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (8021664).

Almost surely, 2^230613180 is an apocalyptic number.

230613180 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 230613180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385039872).

230613180 is an abundant number, since it is smaller than the sum of its proper divisors (539466564).

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

230613180 is a wasteful number, since it uses less digits than its factorization.

230613180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23915 (or 23913 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 230613180 is about 15185.9533780399. The cubic root of 230613180 is about 613.2365638391.

The spelling of 230613180 in words is "two hundred thirty million, six hundred thirteen thousand, one hundred eighty".