220720000 has 160 divisors (see below), whose sum is σ = 573566400. Its totient is φ = 84480000.

The previous prime is 220719997. The next prime is 220720001. The reversal of 220720000 is 27022.

220720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220720001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479956 + ... + 2480044.

It is an arithmetic number, because the mean of its divisors is an integer number (3584790).

Almost surely, 2^220720000 is an apocalyptic number.

220720000 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 220720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783200).

220720000 is an abundant number, since it is smaller than the sum of its proper divisors (352846400).

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

220720000 is an frugal number, since it uses more digits than its factorization.

220720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 220720000 is about 14856.6483434185. The cubic root of 220720000 is about 604.3389177241.

Adding to 220720000 its reverse (27022), we get a palindrome (220747022).

The spelling of 220720000 in words is "two hundred twenty million, seven hundred twenty thousand".