222808800 has 288 divisors, whose sum is σ = 791949312. Its totient is φ = 54190080.

The previous prime is 222808771. The next prime is 222808823. The reversal of 222808800 is 8808222.

222808800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222808800² = 99287522714880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754337 + ... + 1754463.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^222808800 is an apocalyptic number.

222808800 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 222808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395974656).

222808800 is an abundant number, since it is smaller than the sum of its proper divisors (569140512).

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

222808800 is a wasteful number, since it uses less digits than its factorization.

222808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 222808800 is about 14926.7813007359. The cubic root of 222808800 is about 606.2393373262.

The spelling of 222808800 in words is "two hundred twenty-two million, eight hundred eight thousand, eight hundred".