220368900 has 72 divisors (see below), whose sum is σ = 651208320. Its totient is φ = 57511040.

The previous prime is 220368899. The next prime is 220368913. The reversal of 220368900 is 9863022.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6286 + ... + 21914.

It is an arithmetic number, because the mean of its divisors is an integer number (9044560).

Almost surely, 2^220368900 is an apocalyptic number.

220368900 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 220368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325604160).

220368900 is an abundant number, since it is smaller than the sum of its proper divisors (430839420).

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

220368900 is a wasteful number, since it uses less digits than its factorization.

220368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15693 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 220368900 is about 14844.8273819536. The cubic root of 220368900 is about 604.0183063908.

The spelling of 220368900 in words is "two hundred twenty million, three hundred sixty-eight thousand, nine hundred".