220565224 has 96 divisors (see below), whose sum is σ = 488838240. Its totient is φ = 92476800.

The previous prime is 220565221. The next prime is 220565269. The reversal of 220565224 is 422565022.

220565224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220565192 and 220565201.

It is not an unprimeable number, because it can be changed into a prime (220565221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1683639 + ... + 1683769.

It is an arithmetic number, because the mean of its divisors is an integer number (5092065).

Almost surely, 2^220565224 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 220565224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244419120).

220565224 is an abundant number, since it is smaller than the sum of its proper divisors (268273016).

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

220565224 is a wasteful number, since it uses less digits than its factorization.

220565224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 220565224 is about 14851.4384488507. The cubic root of 220565224 is about 604.1976240298.

The spelling of 220565224 in words is "two hundred twenty million, five hundred sixty-five thousand, two hundred twenty-four".