220624140 has 72 divisors (see below), whose sum is σ = 679034160. Its totient is φ = 53482880.

The previous prime is 220624139. The next prime is 220624153. The reversal of 220624140 is 41426022.

It is a super-2 number, since 2×220624140² = 97350022301479200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7935 + ... + 22454.

It is an arithmetic number, because the mean of its divisors is an integer number (9431030).

Almost surely, 2^220624140 is an apocalyptic number.

220624140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220624140 is an abundant number, since it is smaller than the sum of its proper divisors (458410020).

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

220624140 is a wasteful number, since it uses less digits than its factorization.

220624140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30423 (or 30410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 220624140 is about 14853.4218279829. The cubic root of 220624140 is about 604.2514157345.

The spelling of 220624140 in words is "two hundred twenty million, six hundred twenty-four thousand, one hundred forty".