220616500 has 48 divisors (see below), whose sum is σ = 518905296. Its totient is φ = 81456000.

The previous prime is 220616477. The next prime is 220616537. The reversal of 220616500 is 5616022.

220616500 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 8 ways, for example, as 114361636 + 106254864 = 10694^2 + 10308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10471 + ... + 23470.

It is an arithmetic number, because the mean of its divisors is an integer number (10810527).

Almost surely, 2^220616500 is an apocalyptic number.

220616500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220616500 is an abundant number, since it is smaller than the sum of its proper divisors (298288796).

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

220616500 is a wasteful number, since it uses less digits than its factorization.

220616500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33973 (or 33961 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 220616500 is about 14853.1646459601. The cubic root of 220616500 is about 604.2444407738.

It can be divided in two parts, 22061 and 6500, that added together give a 4-th power (28561 = 13⁴).

The spelling of 220616500 in words is "two hundred twenty million, six hundred sixteen thousand, five hundred".