22302900 has 54 divisors (see below), whose sum is σ = 69910022. Its totient is φ = 5947200.

The previous prime is 22302883. The next prime is 22302901. The reversal of 22302900 is 920322.

It can be written as a sum of positive squares in 3 ways, for example, as 736164 + 21566736 = 858^2 + 4644^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11491 + ... + 13290.

Almost surely, 2^22302900 is an apocalyptic number.

22302900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22302900 is an abundant number, since it is smaller than the sum of its proper divisors (47607122).

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

22302900 is a wasteful number, since it uses less digits than its factorization.

22302900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24801 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22302900 is about 4722.5946258386. The cubic root of 22302900 is about 281.4840422247.

The spelling of 22302900 in words is "twenty-two million, three hundred two thousand, nine hundred".