220362500 has 108 divisors (see below), whose sum is σ = 520427628. Its totient is φ = 81600000.

The previous prime is 220362481. The next prime is 220362553. The reversal of 220362500 is 5263022.

It is a happy number.

220362500 is digitally balanced in base 3, 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 18 ways, for example, as 192820996 + 27541504 = 13886^2 + 5248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3612470 + ... + 3612530.

Almost surely, 2^220362500 is an apocalyptic number.

220362500 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 220362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260213814).

220362500 is an abundant number, since it is smaller than the sum of its proper divisors (300065128).

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

220362500 is an equidigital number, since it uses as much as digits as its factorization.

220362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 220362500 is about 14844.6118170870. The cubic root of 220362500 is about 604.0124589919.

The spelling of 220362500 in words is "two hundred twenty million, three hundred sixty-two thousand, five hundred".