22308 has 36 divisors (see below), whose sum is σ = 61488. Its totient is φ = 6240.

The previous prime is 22307. The next prime is 22343. The reversal of 22308 is 80322.

It is a super-3 number, since 3×22308³ = 33304518726336, which contains 333 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (22303) by changing a digit.

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, 1710 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (1708).

2²²³⁰⁸ 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 22308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744).

22308 is an abundant number, since it is smaller than the sum of its proper divisors (39180).

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

22308 is a wasteful number, since it uses less digits than its factorization.

22308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22308 is about 149.3586288100. The cubic root of 22308 is about 28.1505496224.

It can be divided in two parts, 22 and 308, that multiplied together give a palindrome (6776).

The spelling of 22308 in words is "twenty-two thousand, three hundred eight".