220444320 has 96 divisors (see below), whose sum is σ = 697491648. Its totient is φ = 58523648.

The previous prime is 220444319. The next prime is 220444333. The reversal of 220444320 is 23444022.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122467 + ... + 124253.

It is an arithmetic number, because the mean of its divisors is an integer number (7265538).

Almost surely, 2^220444320 is an apocalyptic number.

220444320 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 220444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348745824).

220444320 is an abundant number, since it is smaller than the sum of its proper divisors (477047328).

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

220444320 is a wasteful number, since it uses less digits than its factorization.

220444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 220444320 is about 14847.3674434224. The cubic root of 220444320 is about 604.0872058054.

Adding to 220444320 its reverse (23444022), we get a palindrome (243888342).

The spelling of 220444320 in words is "two hundred twenty million, four hundred forty-four thousand, three hundred twenty".