222865200 has 180 divisors, whose sum is σ = 798752448. Its totient is φ = 57484800.

The previous prime is 222865183. The next prime is 222865207. The reversal of 222865200 is 2568222.

222865200 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (222865207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110602 + ... + 112598.

Almost surely, 2^222865200 is an apocalyptic number.

222865200 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 222865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399376224).

222865200 is an abundant number, since it is smaller than the sum of its proper divisors (575887248).

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

222865200 is a wasteful number, since it uses less digits than its factorization.

222865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 222865200 is about 14928.6704029528. The cubic root of 222865200 is about 606.2904858356.

The spelling of 222865200 in words is "two hundred twenty-two million, eight hundred sixty-five thousand, two hundred".