22540 has 36 divisors (see below), whose sum is σ = 57456. Its totient is φ = 7392.

The previous prime is 22531. The next prime is 22541. The reversal of 22540 is 4522.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 22540.

It is not an unprimeable number, because it can be changed into a prime (22541) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 969 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2²²⁵⁴⁰ is an apocalyptic number.

22540 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 22540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728).

22540 is an abundant number, since it is smaller than the sum of its proper divisors (34916).

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

22540 is a wasteful number, since it uses less digits than its factorization.

22540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 22540 is about 150.1332741267. The cubic root of 22540 is about 28.2478004918.

The spelling of 22540 in words is "twenty-two thousand, five hundred forty".