222645600 has 324 divisors, whose sum is σ = 841797684. Its totient is φ = 55357440.

The previous prime is 222645593. The next prime is 222645601. The reversal of 222645600 is 6546222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222645601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2080747 + ... + 2080853.

It is an arithmetic number, because the mean of its divisors is an integer number (2598141).

Almost surely, 2^222645600 is an apocalyptic number.

222645600 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 222645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420898842).

222645600 is an abundant number, since it is smaller than the sum of its proper divisors (619152084).

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

222645600 is a wasteful number, since it uses less digits than its factorization.

222645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222645600 is about 14921.3136150943. The cubic root of 222645600 is about 606.0912844875.

The spelling of 222645600 in words is "two hundred twenty-two million, six hundred forty-five thousand, six hundred".