220441320 has 96 divisors (see below), whose sum is σ = 781578720. Its totient is φ = 53439360.

The previous prime is 220441307. The next prime is 220441337. The reversal of 220441320 is 23144022.

220441320 is a `hidden beast` number, since 220 + 441 + 3 + 2 + 0 = 666.

220441320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220441293 and 220441302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23874 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (8141445).

Almost surely, 2^220441320 is an apocalyptic number.

220441320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220441320 is an abundant number, since it is smaller than the sum of its proper divisors (561137400).

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

220441320 is a wasteful number, since it uses less digits than its factorization.

220441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55695 (or 55688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220441320 is about 14847.2664150678. The cubic root of 220441320 is about 604.0844654765.

Adding to 220441320 its reverse (23144022), we get a palindrome (243585342).

The spelling of 220441320 in words is "two hundred twenty million, four hundred forty-one thousand, three hundred twenty".