230206080 has 256 divisors, whose sum is σ = 826640640. Its totient is φ = 54067200.

The previous prime is 230206051. The next prime is 230206087. The reversal of 230206080 is 80602032.

It is not an unprimeable number, because it can be changed into a prime (230206087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573880 + ... + 574280.

It is an arithmetic number, because the mean of its divisors is an integer number (3229065).

Almost surely, 2^230206080 is an apocalyptic number.

230206080 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 230206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413320320).

230206080 is an abundant number, since it is smaller than the sum of its proper divisors (596434560).

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

230206080 is a wasteful number, since it uses less digits than its factorization.

230206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 230206080 is about 15172.5436232690. The cubic root of 230206080 is about 612.8755037436.

The spelling of 230206080 in words is "two hundred thirty million, two hundred six thousand, eighty".