11223200 has 36 divisors (see below), whose sum is σ = 27400590. Its totient is φ = 4488960.

The previous prime is 11223181. The next prime is 11223253. The reversal of 11223200 is 232211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4892944 + 6330256 = 2212^2 + 2516^2 .

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, 6215 + ... + 7814.

Almost surely, 2^11223200 is an apocalyptic number.

11223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223200 is an abundant number, since it is smaller than the sum of its proper divisors (16177390).

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

11223200 is a wasteful number, since it uses less digits than its factorization.

11223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14049 (or 14036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11223200 is about 3350.1044759828. The cubic root of 11223200 is about 223.8921674860.

Adding to 11223200 its reverse (232211), we get a palindrome (11455411).

The spelling of 11223200 in words is "eleven million, two hundred twenty-three thousand, two hundred".