22950 has 48 divisors (see below), whose sum is σ = 66960. Its totient is φ = 5760.

The previous prime is 22943. The next prime is 22961. The reversal of 22950 is 5922.

22950 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 2¹³ + 2¹³ + 9⁴ + 5 + 0 .

22950 is an undulating number in base 13.

22950 is strictly pandigital in base 6.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2²²⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

22950 is an abundant number, since it is smaller than the sum of its proper divisors (44010).

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

22950 is a wasteful number, since it uses less digits than its factorization.

22950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 22950 is about 151.4925740754. The cubic root of 22950 is about 28.4180471156.

22950 divided by its sum of digits (18) gives a triangular number (1275 = T₅₀).

The spelling of 22950 in words is "twenty-two thousand, nine hundred fifty".