220082900 has 36 divisors (see below), whose sum is σ = 478836540. Its totient is φ = 87801600.

The previous prime is 220082897. The next prime is 220082923. The reversal of 220082900 is 9280022.

220082900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 35344 + 220047556 = 188^2 + 14834^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38210 + ... + 43590.

It is an arithmetic number, because the mean of its divisors is an integer number (13301015).

Almost surely, 2^220082900 is an apocalyptic number.

220082900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220082900 is an abundant number, since it is smaller than the sum of its proper divisors (258753640).

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

220082900 is a wasteful number, since it uses less digits than its factorization.

220082900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 220082900 is about 14835.1912694107. The cubic root of 220082900 is about 603.7568901591.

The spelling of 220082900 in words is "two hundred twenty million, eighty-two thousand, nine hundred".