220890112 has 44 divisors (see below), whose sum is σ = 467575740. Its totient is φ = 103940096.

The previous prime is 220890107. The next prime is 220890113. The reversal of 220890112 is 211098022.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 126877696 = 9696^2 + 11264^2 .

It is a super-3 number, since 3×220890112³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220890113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11064 + ... + 23752.

Almost surely, 2^220890112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233787870).

220890112 is an abundant number, since it is smaller than the sum of its proper divisors (246685628).

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

220890112 is a wasteful number, since it uses less digits than its factorization.

220890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 220890112 is about 14862.3723543720. The cubic root of 220890112 is about 604.4941353484.

The spelling of 220890112 in words is "two hundred twenty million, eight hundred ninety thousand, one hundred twelve".