11233200 has 240 divisors, whose sum is σ = 42068736. Its totient is φ = 2534400.

The previous prime is 11233169. The next prime is 11233207. The reversal of 11233200 is 233211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11233207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 303582 + ... + 303618.

Almost surely, 2^11233200 is an apocalyptic number.

11233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034368).

11233200 is an abundant number, since it is smaller than the sum of its proper divisors (30835536).

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

11233200 is a wasteful number, since it uses less digits than its factorization.

11233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11233200 is about 3351.5966344416. The cubic root of 11233200 is about 223.9586445762.

Adding to 11233200 its reverse (233211), we get a palindrome (11466411).

The spelling of 11233200 in words is "eleven million, two hundred thirty-three thousand, two hundred".