230266080 has 144 divisors (see below), whose sum is σ = 857276784. Its totient is φ = 55818240.

The previous prime is 230266039. The next prime is 230266093. The reversal of 230266080 is 80662032.

230266080 is a `hidden beast` number, since 2 + 30 + 26 + 608 + 0 = 666.

230266080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8572 + ... + 23108.

It is an arithmetic number, because the mean of its divisors is an integer number (5953311).

Almost surely, 2^230266080 is an apocalyptic number.

230266080 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 230266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428638392).

230266080 is an abundant number, since it is smaller than the sum of its proper divisors (627010704).

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

230266080 is a wasteful number, since it uses less digits than its factorization.

230266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230266080 is about 15174.5207502577. The cubic root of 230266080 is about 612.9287449322.

The spelling of 230266080 in words is "two hundred thirty million, two hundred sixty-six thousand, eighty".