220726968200 has 108 divisors (see below), whose sum is σ = 519080625765. Its totient is φ = 87288841920.

The previous prime is 220726968179. The next prime is 220726968221. The reversal of 220726968200 is 2869627022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220726968200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220726968179) and next prime (220726968221).

It can be written as a sum of positive squares in 2 ways, for example, as 216312428836 + 4414539364 = 465094^2 + 66442^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332210.

It is a super-2 number, since 2×220726968200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 923543681 + ... + 923543919.

Almost surely, 2^220726968200 is an apocalyptic number.

220726968200 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 220726968200

220726968200 is an abundant number, since it is smaller than the sum of its proper divisors (298353657565).

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

220726968200 is an equidigital number, since it uses as much as digits as its factorization.

220726968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 220726968200 in words is "two hundred twenty billion, seven hundred twenty-six million, nine hundred sixty-eight thousand, two hundred".