222024900 has 72 divisors (see below), whose sum is σ = 646833600. Its totient is φ = 58797440.

The previous prime is 222024877. The next prime is 222024923. The reversal of 222024900 is 9420222.

It is an interprime number because it is at equal distance from previous prime (222024877) and next prime (222024923).

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, 42217 + ... + 47183.

It is an arithmetic number, because the mean of its divisors is an integer number (8983800).

Almost surely, 2^222024900 is an apocalyptic number.

222024900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14900×14901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323416800).

222024900 is an abundant number, since it is smaller than the sum of its proper divisors (424808700).

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

222024900 is a wasteful number, since it uses less digits than its factorization.

222024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 222024900 is about 14900.4999916110. The cubic root of 222024900 is about 605.5275320508.

The spelling of 222024900 in words is "two hundred twenty-two million, twenty-four thousand, nine hundred".