22305600 has 126 divisors (see below), whose sum is σ = 79330550. Its totient is φ = 5944320.

The previous prime is 22305587. The next prime is 22305623. The reversal of 22305600 is 650322.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 21678336 = 792^2 + 4656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13626 + ... + 15174.

Almost surely, 2^22305600 is an apocalyptic number.

22305600 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 22305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39665275).

22305600 is an abundant number, since it is smaller than the sum of its proper divisors (57024950).

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

22305600 is a wasteful number, since it uses less digits than its factorization.

22305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22305600 is about 4722.8804769971. The cubic root of 22305600 is about 281.4954006318.

Adding to 22305600 its reverse (650322), we get a palindrome (22955922).

The spelling of 22305600 in words is "twenty-two million, three hundred five thousand, six hundred".