11200224 has 72 divisors (see below), whose sum is σ = 34215048. Its totient is φ = 3198720.

The previous prime is 11200213. The next prime is 11200237. The reversal of 11200224 is 42200211.

11200224 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3514 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (475209).

Almost surely, 2^11200224 is an apocalyptic number.

11200224 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 11200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107524).

11200224 is an abundant number, since it is smaller than the sum of its proper divisors (23014824).

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

11200224 is a wasteful number, since it uses less digits than its factorization.

11200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11200224 is about 3346.6735723700. The cubic root of 11200224 is about 223.7392799916.

Adding to 11200224 its reverse (42200211), we get a palindrome (53400435).

The spelling of 11200224 in words is "eleven million, two hundred thousand, two hundred twenty-four".