22600 has 24 divisors (see below), whose sum is σ = 53010. Its totient is φ = 8960.

The previous prime is 22573. The next prime is 22613. The reversal of 22600 is 622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9604 + 12996 = 98^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

22600 is an undulating number in base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144 + ... + 256.

2²²⁶⁰⁰ is an apocalyptic number.

22600 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 22600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505).

22600 is an abundant number, since it is smaller than the sum of its proper divisors (30410).

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

22600 is a wasteful number, since it uses less digits than its factorization.

22600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22600 is about 150.3329637837. The cubic root of 22600 is about 28.2728428813.

The spelling of 22600 in words is "twenty-two thousand, six hundred".