220444900 has 72 divisors (see below), whose sum is σ = 519036224. Its totient is φ = 80784000.

The previous prime is 220444877. The next prime is 220444907. The reversal of 220444900 is 9444022.

220444900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (220444907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195739 + ... + 196861.

Almost surely, 2^220444900 is an apocalyptic number.

220444900 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 220444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259518112).

220444900 is an abundant number, since it is smaller than the sum of its proper divisors (298591324).

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

220444900 is a wasteful number, since it uses less digits than its factorization.

220444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 220444900 is about 14847.3869754917. The cubic root of 220444900 is about 604.0877355995.

Adding to 220444900 its reverse (9444022), we get a palindrome (229888922).

The spelling of 220444900 in words is "two hundred twenty million, four hundred forty-four thousand, nine hundred".