22285200 has 180 divisors, whose sum is σ = 83261040. Its totient is φ = 5080320.

The previous prime is 22285171. The next prime is 22285213. The reversal of 22285200 is 258222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58611 + ... + 58989.

Almost surely, 2^22285200 is an apocalyptic number.

22285200 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 22285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41630520).

22285200 is an abundant number, since it is smaller than the sum of its proper divisors (60975840).

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

22285200 is a wasteful number, since it uses less digits than its factorization.

22285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22285200 is about 4720.7202840245. The cubic root of 22285200 is about 281.4095588446.

The spelling of 22285200 in words is "twenty-two million, two hundred eighty-five thousand, two hundred".