22590900 has 90 divisors (see below), whose sum is σ = 73257030. Its totient is φ = 6022080.

The previous prime is 22590871. The next prime is 22590901. The reversal of 22590900 is 909522.

It can be written as a sum of positive squares in 3 ways, for example, as 2178576 + 20412324 = 1476^2 + 4518^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22590901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6706 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (813967).

Almost surely, 2^22590900 is an apocalyptic number.

22590900 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 22590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628515).

22590900 is an abundant number, since it is smaller than the sum of its proper divisors (50666130).

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

22590900 is a wasteful number, since it uses less digits than its factorization.

22590900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 22590900 is about 4752.9885335439. The cubic root of 22590900 is about 282.6904763922.

It can be divided in two parts, 225 and 90900, that added together give a cube (91125 = 45³).

The spelling of 22590900 in words is "twenty-two million, five hundred ninety thousand, nine hundred".