11242224 has 120 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 3037824.

The previous prime is 11242223. The next prime is 11242229. The reversal of 11242224 is 42224211.

11242224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 11242197 and 11242206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18859 + ... + 19445.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^11242224 is an apocalyptic number.

11242224 is a gapful number since it is divisible by the number (14) 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 11242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

11242224 is an abundant number, since it is smaller than the sum of its proper divisors (26672016).

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

11242224 is a wasteful number, since it uses less digits than its factorization.

11242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 11242224 is about 3352.9425882350. The cubic root of 11242224 is about 224.0185996460.

Adding to 11242224 its reverse (42224211), we get a palindrome (53466435).

The spelling of 11242224 in words is "eleven million, two hundred forty-two thousand, two hundred twenty-four".