220426920 has 160 divisors (see below), whose sum is σ = 846806400. Its totient is φ = 50378112.

The previous prime is 220426909. The next prime is 220426991. The reversal of 220426920 is 29624022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17821 + ... + 27539.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2^220426920 is an apocalyptic number.

220426920 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 220426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423403200).

220426920 is an abundant number, since it is smaller than the sum of its proper divisors (626379480).

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

220426920 is a wasteful number, since it uses less digits than its factorization.

220426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220426920 is about 14846.7814693960. The cubic root of 220426920 is about 604.0713115516.

The spelling of 220426920 in words is "two hundred twenty million, four hundred twenty-six thousand, nine hundred twenty".