11204224 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 4976640.

The previous prime is 11204213. The next prime is 11204231. The reversal of 11204224 is 42240211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11204198 and 11204207.

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 7 ways as a sum of consecutive naturals, for example, 41209 + ... + 41479.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 2^11204224 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 11204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

11204224 is an abundant number, since it is smaller than the sum of its proper divisors (13765376).

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

11204224 is a wasteful number, since it uses less digits than its factorization.

11204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 11204224 is about 3347.2711273514. The cubic root of 11204224 is about 223.7659119173.

Adding to 11204224 its reverse (42240211), we get a palindrome (53444435).

The spelling of 11204224 in words is "eleven million, two hundred four thousand, two hundred twenty-four".