220518900 has 432 divisors, whose sum is σ = 877443840. Its totient is φ = 45158400.

The previous prime is 220518887. The next prime is 220518943. The reversal of 220518900 is 9815022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3105865 + ... + 3105935.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^220518900 is an apocalyptic number.

220518900 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 220518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

220518900 is an abundant number, since it is smaller than the sum of its proper divisors (656924940).

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

220518900 is a wasteful number, since it uses less digits than its factorization.

220518900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 220518900 is about 14849.8787873841. The cubic root of 220518900 is about 604.1553223924.

The spelling of 220518900 in words is "two hundred twenty million, five hundred eighteen thousand, nine hundred".