220219560 has 320 divisors, whose sum is σ = 834261120. Its totient is φ = 51632640.

The previous prime is 220219537. The next prime is 220219561. The reversal of 220219560 is 65912022.

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

It is not an unprimeable number, because it can be changed into a prime (220219561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1318597 + ... + 1318763.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^220219560 is an apocalyptic number.

220219560 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 220219560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

220219560 is an abundant number, since it is smaller than the sum of its proper divisors (614041560).

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

220219560 is a wasteful number, since it uses less digits than its factorization.

220219560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 220219560 is about 14839.7964945615. The cubic root of 220219560 is about 603.8818314797.

The spelling of 220219560 in words is "two hundred twenty million, two hundred nineteen thousand, five hundred sixty".