22650 has 24 divisors (see below), whose sum is σ = 56544. Its totient is φ = 6000.

The previous prime is 22643. The next prime is 22651. The reversal of 22650 is 5622.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (22651) by changing a digit.

22650 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

2²²⁶⁵⁰ is an apocalyptic number.

It is a pronic number, being equal to 150×151.

It is a practical number, because each smaller number is the sum of distinct divisors of 22650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272).

22650 is an abundant number, since it is smaller than the sum of its proper divisors (33894).

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

22650 is a wasteful number, since it uses less digits than its factorization.

22650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22650 is about 150.4991694329. The cubic root of 22650 is about 28.2936777030.

It can be divided in two parts, 226 and 50, that added together give a triangular number (276 = T₂₃).

The spelling of 22650 in words is "twenty-two thousand, six hundred fifty".