22248128 has 56 divisors (see below), whose sum is σ = 51462432. Its totient is φ = 9345024.

The previous prime is 22248119. The next prime is 22248139. The reversal of 22248128 is 82184222.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22248128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23276 + ... + 24212.

It is an arithmetic number, because the mean of its divisors is an integer number (918972).

Almost surely, 2^22248128 is an apocalyptic number.

22248128 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 22248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25731216).

22248128 is an abundant number, since it is smaller than the sum of its proper divisors (29214304).

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

22248128 is an equidigital number, since it uses as much as digits as its factorization.

22248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 22248128 is about 4716.7921302512. The cubic root of 22248128 is about 281.2534282380.

The spelling of 22248128 in words is "twenty-two million, two hundred forty-eight thousand, one hundred twenty-eight".