11800224 has 36 divisors (see below), whose sum is σ = 33557706. Its totient is φ = 3933312.

The previous prime is 11800211. The next prime is 11800237. The reversal of 11800224 is 42200811.

It is an interprime number because it is at equal distance from previous prime (11800211) and next prime (11800237).

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 5143824 = 2580^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11800197 and 11800206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20199 + ... + 20774.

Almost surely, 2^11800224 is an apocalyptic number.

It is an amenable number.

11800224 is an abundant number, since it is smaller than the sum of its proper divisors (21757482).

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

11800224 is a wasteful number, since it uses less digits than its factorization.

11800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40989 (or 40978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11800224 is about 3435.1454117693. The cubic root of 11800224 is about 227.6652520717.

The spelling of 11800224 in words is "eleven million, eight hundred thousand, two hundred twenty-four".