22338 has 24 divisors (see below), whose sum is σ = 51948. Its totient is φ = 6912.

The previous prime is 22307. The next prime is 22343. The reversal of 22338 is 83322.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 729 = 147^2 + 27^2 .

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 2⁹ + 2¹³ + 3⁸ + 3⁸ + 8³ .

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 342.

2²²³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974).

22338 is an abundant number, since it is smaller than the sum of its proper divisors (29610).

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

22338 is a wasteful number, since it uses less digits than its factorization.

22338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 95 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22338 is about 149.4590244850. The cubic root of 22338 is about 28.1631630077.

The spelling of 22338 in words is "twenty-two thousand, three hundred thirty-eight".