22048 has 24 divisors (see below), whose sum is σ = 47628. Its totient is φ = 9984.

The previous prime is 22039. The next prime is 22051. The reversal of 22048 is 84022.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 144 = 148^2 + 12^2 .

It is a super-2 number, since 2×22048² = 972228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

22048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 390 + ... + 442.

2²²⁰⁴⁸ 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 22048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814).

22048 is an abundant number, since it is smaller than the sum of its proper divisors (25580).

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

22048 is a wasteful number, since it uses less digits than its factorization.

22048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22048 is about 148.4856895462. The cubic root of 22048 is about 28.0407569716.

22048 divided by its sum of digits (16) gives a triangular number (1378 = T₅₂).

It can be divided in two parts, 2 and 2048, that multiplied together give a 12-th power (4096 = 2¹²).

The spelling of 22048 in words is "twenty-two thousand, forty-eight".