22008448 has 144 divisors (see below), whose sum is σ = 57994650. Its totient is φ = 8279040.

The previous prime is 22008443. The next prime is 22008457. The reversal of 22008448 is 84480022.

It can be written as a sum of positive squares in only one way, i.e., 18593344 + 3415104 = 4312^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22008443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 758898 + ... + 758926.

Almost surely, 2^22008448 is an apocalyptic number.

22008448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28997325).

22008448 is an abundant number, since it is smaller than the sum of its proper divisors (35986202).

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

22008448 is a wasteful number, since it uses less digits than its factorization.

22008448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 22008448 is about 4691.3162332122. The cubic root of 22008448 is about 280.2397945791.

It can be divided in two parts, 2200 and 8448, that added together give a cube (10648 = 22³).

The spelling of 22008448 in words is "twenty-two million, eight thousand, four hundred forty-eight".