11238800 has 30 divisors (see below), whose sum is σ = 27002178. Its totient is φ = 4495360.

The previous prime is 11238793. The next prime is 11238811. The reversal of 11238800 is 883211.

It can be written as a sum of positive squares in 3 ways, for example, as 163216 + 11075584 = 404^2 + 3328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13649 + ... + 14448.

Almost surely, 2^11238800 is an apocalyptic number.

11238800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11238800 is an abundant number, since it is smaller than the sum of its proper divisors (15763378).

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

11238800 is a wasteful number, since it uses less digits than its factorization.

11238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28115 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11238800 is about 3352.4319530753. The cubic root of 11238800 is about 223.9958545151.

The spelling of 11238800 in words is "eleven million, two hundred thirty-eight thousand, eight hundred".