82210180 has 24 divisors (see below), whose sum is σ = 185922072. Its totient is φ = 30354432.

The previous prime is 82210151. The next prime is 82210217. The reversal of 82210180 is 8101228.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 77475204 = 2176^2 + 8802^2 .

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, 157837 + ... + 158356.

It is an arithmetic number, because the mean of its divisors is an integer number (7746753).

Almost surely, 2^82210180 is an apocalyptic number.

It is an amenable number.

82210180 is an abundant number, since it is smaller than the sum of its proper divisors (103711892).

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

82210180 is a wasteful number, since it uses less digits than its factorization.

82210180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316215 (or 316213 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 82210180 is about 9066.9829601693. The cubic root of 82210180 is about 434.8190201477.

The spelling of 82210180 in words is "eighty-two million, two hundred ten thousand, one hundred eighty".