230083080 has 64 divisors (see below), whose sum is σ = 694301760. Its totient is φ = 60995328.

The previous prime is 230083069. The next prime is 230083111. The reversal of 230083080 is 80380032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230083080.

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 15 ways as a sum of consecutive naturals, for example, 15219 + ... + 26301.

It is an arithmetic number, because the mean of its divisors is an integer number (10848465).

Almost surely, 2^230083080 is an apocalyptic number.

230083080 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 230083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347150880).

230083080 is an abundant number, since it is smaller than the sum of its proper divisors (464218680).

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

230083080 is a wasteful number, since it uses less digits than its factorization.

230083080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 230083080 is about 15168.4897072846. The cubic root of 230083080 is about 612.7663303790.

The spelling of 230083080 in words is "two hundred thirty million, eighty-three thousand, eighty".