22285600 has 72 divisors (see below), whose sum is σ = 55191780. Its totient is φ = 8785920.

The previous prime is 22285577. The next prime is 22285619. The reversal of 22285600 is 658222.

It can be written as a sum of positive squares in 6 ways, for example, as 345744 + 21939856 = 588^2 + 4684^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 71044 + ... + 71356.

Almost surely, 2^22285600 is an apocalyptic number.

22285600 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 22285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595890).

22285600 is an abundant number, since it is smaller than the sum of its proper divisors (32906180).

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

22285600 is a wasteful number, since it uses less digits than its factorization.

22285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 22285600 is about 4720.7626502505. The cubic root of 22285600 is about 281.4112425203.

The spelling of 22285600 in words is "twenty-two million, two hundred eighty-five thousand, six hundred".