22248 has 32 divisors (see below), whose sum is σ = 62400. Its totient is φ = 7344.

The previous prime is 22247. The next prime is 22259. The reversal of 22248 is 84222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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 22248.

It is not an unprimeable number, because it can be changed into a prime (22247) 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, 165 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2²²²⁴⁸ 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 22248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200).

22248 is an abundant number, since it is smaller than the sum of its proper divisors (40152).

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

22248 is a wasteful number, since it uses less digits than its factorization.

22248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22248 is about 149.1576347359. The cubic root of 22248 is about 28.1252888859.

The spelling of 22248 in words is "twenty-two thousand, two hundred forty-eight".