222768000 has 768 divisors, whose sum is σ = 1042554240. Its totient is φ = 44236800.

The previous prime is 222767999. The next prime is 222768043. The reversal of 222768000 is 867222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103992 + ... + 13104008.

Almost surely, 2^222768000 is an apocalyptic number.

222768000 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 222768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

222768000 is an abundant number, since it is smaller than the sum of its proper divisors (819786240).

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

222768000 is a wasteful number, since it uses less digits than its factorization.

222768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 222768000 is about 14925.4145671067. The cubic root of 222768000 is about 606.2023308960.

It can be divided in two parts, 22276 and 8000, that added together give a square (30276 = 174²).

The spelling of 222768000 in words is "two hundred twenty-two million, seven hundred sixty-eight thousand".