220946944 has 40 divisors (see below), whose sum is σ = 442918080. Its totient is φ = 110109696.

The previous prime is 220946939. The next prime is 220946981. The reversal of 220946944 is 449649022.

It is a junction number, because it is equal to n+sod(n) for n = 220946897 and 220946906.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224277 + ... + 225259.

It is an arithmetic number, because the mean of its divisors is an integer number (11072952).

Almost surely, 2^220946944 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 220946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221459040).

220946944 is an abundant number, since it is smaller than the sum of its proper divisors (221971136).

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

220946944 is an frugal number, since it uses more digits than its factorization.

220946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 220946944 is about 14864.2841738175. The cubic root of 220946944 is about 604.5459735897.

The spelling of 220946944 in words is "two hundred twenty million, nine hundred forty-six thousand, nine hundred forty-four".