220338720 has 144 divisors (see below), whose sum is σ = 859360320. Its totient is φ = 50360832.

The previous prime is 220338709. The next prime is 220338761. The reversal of 220338720 is 27833022.

It is a tau number, because it is divible by the number of its divisors (144).

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, 850 + ... + 21009.

It is an arithmetic number, because the mean of its divisors is an integer number (5967780).

Almost surely, 2^220338720 is an apocalyptic number.

220338720 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 220338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429680160).

220338720 is an abundant number, since it is smaller than the sum of its proper divisors (639021600).

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

220338720 is a wasteful number, since it uses less digits than its factorization.

220338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21887 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 220338720 is about 14843.8108314543. The cubic root of 220338720 is about 603.9907312584.

The spelling of 220338720 in words is "two hundred twenty million, three hundred thirty-eight thousand, seven hundred twenty".