22830560 has 48 divisors (see below), whose sum is σ = 54232416. Its totient is φ = 9082368.

The previous prime is 22830557. The next prime is 22830583. The reversal of 22830560 is 6503822.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 46637 + ... + 47123.

It is an arithmetic number, because the mean of its divisors is an integer number (1129842).

Almost surely, 2^22830560 is an apocalyptic number.

22830560 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 22830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27116208).

22830560 is an abundant number, since it is smaller than the sum of its proper divisors (31401856).

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

22830560 is a wasteful number, since it uses less digits than its factorization.

22830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 22830560 is about 4778.1335268073. The cubic root of 22830560 is about 283.6866212021.

The spelling of 22830560 in words is "twenty-two million, eight hundred thirty thousand, five hundred sixty".