222456000 has 448 divisors, whose sum is σ = 852074496. Its totient is φ = 50688000.

The previous prime is 222455983. The next prime is 222456049. The reversal of 222456000 is 654222.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175985 + ... + 7176015.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^222456000 is an apocalyptic number.

222456000 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 222456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426037248).

222456000 is an abundant number, since it is smaller than the sum of its proper divisors (629618496).

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

222456000 is a wasteful number, since it uses less digits than its factorization.

222456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 222456000 is about 14914.9589339026. The cubic root of 222456000 is about 605.9191910459.

The spelling of 222456000 in words is "two hundred twenty-two million, four hundred fifty-six thousand".