11238144 has 36 divisors (see below), whose sum is σ = 29911896. Its totient is φ = 3745792.

The previous prime is 11238133. The next prime is 11238163. The reversal of 11238144 is 44183211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6549 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (830886).

Almost surely, 2^11238144 is an apocalyptic number.

It is an amenable number.

11238144 is an abundant number, since it is smaller than the sum of its proper divisors (18673752).

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

11238144 is an equidigital number, since it uses as much as digits as its factorization.

11238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14652 (or 14638 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 11238144 is about 3352.3341122269. The cubic root of 11238144 is about 223.9914962758.

The spelling of 11238144 in words is "eleven million, two hundred thirty-eight thousand, one hundred forty-four".