22890 has 32 divisors (see below), whose sum is σ = 63360. Its totient is φ = 5184.

The previous prime is 22877. The next prime is 22901. The reversal of 22890 is 9822.

22890 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

22890 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 15 ways as a sum of consecutive naturals, for example, 156 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2²²⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680).

22890 is an abundant number, since it is smaller than the sum of its proper divisors (40470).

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

22890 is a wasteful number, since it uses less digits than its factorization.

22890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22890 is about 151.2944149663. The cubic root of 22890 is about 28.3932603196.

Multiplying 22890 by its sum of digits (21), we get a triangular number (480690 = T₉₈₀).

The spelling of 22890 in words is "twenty-two thousand, eight hundred ninety".