22484 has 24 divisors (see below), whose sum is σ = 49728. Its totient is φ = 8640.

The previous prime is 22483. The next prime is 22501. The reversal of 22484 is 48422.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

2²²⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864).

22484 is an abundant number, since it is smaller than the sum of its proper divisors (27244).

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

22484 is a wasteful number, since it uses less digits than its factorization.

22484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 22484 is about 149.9466571818. The cubic root of 22484 is about 28.2243874678.

It can be divided in two parts, 22 and 484, that multiplied together give a cube (10648 = 22³).

The spelling of 22484 in words is "twenty-two thousand, four hundred eighty-four".