22441248 has 72 divisors (see below), whose sum is σ = 64825488. Its totient is φ = 7362432.

The previous prime is 22441193. The next prime is 22441249. The reversal of 22441248 is 84214422.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22441248² = 1007219223595008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22441249) 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 11 ways as a sum of consecutive naturals, for example, 18715 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (900354).

Almost surely, 2^22441248 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 22441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32412744).

22441248 is an abundant number, since it is smaller than the sum of its proper divisors (42384240).

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

22441248 is a wasteful number, since it uses less digits than its factorization.

22441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 22441248 is about 4737.2194376026. The cubic root of 22441248 is about 282.0648711481.

The spelling of 22441248 in words is "twenty-two million, four hundred forty-one thousand, two hundred forty-eight".