22606900 has 36 divisors (see below), whose sum is σ = 49367500. Its totient is φ = 8985600.

The previous prime is 22606891. The next prime is 22606919. The reversal of 22606900 is 960622.

22606900 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 6 ways, for example, as 5731236 + 16875664 = 2394^2 + 4108^2 .

It is a super-2 number, since 2×22606900² = 1022143855220000, which contains 22 as substring.

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

It is a congruent number.

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, 17476 + ... + 18724.

Almost surely, 2^22606900 is an apocalyptic number.

22606900 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 22606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683750).

22606900 is an abundant number, since it is smaller than the sum of its proper divisors (26760600).

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

22606900 is a wasteful number, since it uses less digits than its factorization.

22606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 22606900 is about 4754.6713871728. The cubic root of 22606900 is about 282.7571991320.

The spelling of 22606900 in words is "twenty-two million, six hundred six thousand, nine hundred".