220461700 has 36 divisors (see below), whose sum is σ = 479195892. Its totient is φ = 88038400.

The previous prime is 220461673. The next prime is 220461721. The reversal of 220461700 is 7164022.

220461700 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 98049604 + 122412096 = 9902^2 + 11064^2 .

It is a super-2 number, since 2×220461700² = 97206722333780000, which contains 22 as substring.

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, 74652 + ... + 77548.

It is an arithmetic number, because the mean of its divisors is an integer number (13310997).

Almost surely, 2^220461700 is an apocalyptic number.

220461700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220461700 is an abundant number, since it is smaller than the sum of its proper divisors (258734192).

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

220461700 is a wasteful number, since it uses less digits than its factorization.

220461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 220461700 is about 14847.9527208299. The cubic root of 220461700 is about 604.1030809551.

The spelling of 220461700 in words is "two hundred twenty million, four hundred sixty-one thousand, seven hundred".