222492900 has 144 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 50304000.

The previous prime is 222492899. The next prime is 222492917. The reversal of 222492900 is 9294222.

222492900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211576 + ... + 212624.

It is an arithmetic number, because the mean of its divisors is an integer number (5164600).

Almost surely, 2^222492900 is an apocalyptic number.

222492900 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 222492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

222492900 is an abundant number, since it is smaller than the sum of its proper divisors (521209500).

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

222492900 is a wasteful number, since it uses less digits than its factorization.

222492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1167 counting only the distinct ones).

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

The square root of 222492900 is about 14916.1958957370. The cubic root of 222492900 is about 605.9526915764.

The spelling of 222492900 in words is "two hundred twenty-two million, four hundred ninety-two thousand, nine hundred".