222912000 has 400 divisors, whose sum is σ = 849646512. Its totient is φ = 58060800.

The previous prime is 222911999. The next prime is 222912031. The reversal of 222912000 is 219222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183979 + ... + 5184021.

Almost surely, 2^222912000 is an apocalyptic number.

222912000 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 222912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424823256).

222912000 is an abundant number, since it is smaller than the sum of its proper divisors (626734512).

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

222912000 is an frugal number, since it uses more digits than its factorization.

222912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 222912000 is about 14930.2377743960. The cubic root of 222912000 is about 606.3329216650.

The spelling of 222912000 in words is "two hundred twenty-two million, nine hundred twelve thousand".