222884400 has 60 divisors (see below), whose sum is σ = 713976872. Its totient is φ = 59435520.

The previous prime is 222884371. The next prime is 222884413. The reversal of 222884400 is 4488222.

222884400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×222884400⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a zygodrome in base 10.

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, 91669 + ... + 94068.

Almost surely, 2^222884400 is an apocalyptic number.

222884400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222884400 is an abundant number, since it is smaller than the sum of its proper divisors (491092472).

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

222884400 is a wasteful number, since it uses less digits than its factorization.

222884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185758 (or 185747 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 222884400 is about 14929.3134470410. The cubic root of 222884400 is about 606.3078961253.

The spelling of 222884400 in words is "two hundred twenty-two million, eight hundred eighty-four thousand, four hundred".