222880800 has 72 divisors (see below), whose sum is σ = 725484816. Its totient is φ = 59434240.

The previous prime is 222880799. The next prime is 222880837. The reversal of 222880800 is 8088222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44034 + ... + 48833.

It is an arithmetic number, because the mean of its divisors is an integer number (10076178).

Almost surely, 2^222880800 is an apocalyptic number.

222880800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222880800 is an abundant number, since it is smaller than the sum of its proper divisors (502604016).

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

222880800 is a wasteful number, since it uses less digits than its factorization.

222880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92890 (or 92877 counting only the distinct ones).

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

The square root of 222880800 is about 14929.1928783843. The cubic root of 222880800 is about 606.3046317721.

It can be divided in two parts, 2228 and 80800, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 222880800 in words is "two hundred twenty-two million, eight hundred eighty thousand, eight hundred".