222904516800 has 1344 divisors, whose sum is σ = 930669004800. Its totient is φ = 45546209280.

The previous prime is 222904516777. The next prime is 222904516831. The reversal of 222904516800 is 8615409222.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1120123101 + ... + 1120123299.

Almost surely, 2^222904516800 is an apocalyptic number.

222904516800 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 222904516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465334502400).

222904516800 is an abundant number, since it is smaller than the sum of its proper divisors (707764488000).

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

222904516800 is a wasteful number, since it uses less digits than its factorization.

222904516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 222904516800 in words is "two hundred twenty-two billion, nine hundred four million, five hundred sixteen thousand, eight hundred".