220969144 has 32 divisors (see below), whose sum is σ = 454512240. Its totient is φ = 99878400.

The previous prime is 220969087. The next prime is 220969171. The reversal of 220969144 is 441969022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8992 + ... + 22864.

Almost surely, 2^220969144 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 220969144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227256120).

220969144 is an abundant number, since it is smaller than the sum of its proper divisors (233543096).

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

220969144 is a wasteful number, since it uses less digits than its factorization.

220969144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 220969144 is about 14865.0309115050. The cubic root of 220969144 is about 604.5662204884.

The spelling of 220969144 in words is "two hundred twenty million, nine hundred sixty-nine thousand, one hundred forty-four".