222616800 has 324 divisors, whose sum is σ = 914613336. Its totient is φ = 50803200.

The previous prime is 222616781. The next prime is 222616811. The reversal of 222616800 is 8616222.

222616800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352485 + ... + 353115.

Almost surely, 2^222616800 is an apocalyptic number.

222616800 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 222616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457306668).

222616800 is an abundant number, since it is smaller than the sum of its proper divisors (691996536).

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

222616800 is a wasteful number, since it uses less digits than its factorization.

222616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 222616800 is about 14920.3485213986. The cubic root of 222616800 is about 606.0651500063.

The spelling of 222616800 in words is "two hundred twenty-two million, six hundred sixteen thousand, eight hundred".