11000224 has 48 divisors (see below), whose sum is σ = 23328648. Its totient is φ = 5087232.

The previous prime is 11000189. The next prime is 11000273. The reversal of 11000224 is 42200011.

11000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9412624 + 1587600 = 3068^2 + 1260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11000224.

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, 39574 + ... + 39850.

Almost surely, 2^11000224 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 11000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664324).

11000224 is an abundant number, since it is smaller than the sum of its proper divisors (12328424).

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

11000224 is a wasteful number, since it uses less digits than its factorization.

11000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11000224 is about 3316.6585594541. The cubic root of 11000224 is about 222.3995186574.

Adding to 11000224 its reverse (42200011), we get a palindrome (53200235).

The spelling of 11000224 in words is "eleven million, two hundred twenty-four", and thus it is an aban number.