11224200 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2760960.

The previous prime is 11224163. The next prime is 11224223. The reversal of 11224200 is 242211.

11224200 = T₈₃ + T₈₄ + ... + T₄₀₇.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7081 + ... + 8519.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^11224200 is an apocalyptic number.

11224200 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 11224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11224200 is an abundant number, since it is smaller than the sum of its proper divisors (26273400).

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

11224200 is a wasteful number, since it uses less digits than its factorization.

11224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11224200 is about 3350.2537217351. The cubic root of 11224200 is about 223.8988169716.

Adding to 11224200 its reverse (242211), we get a palindrome (11466411).

The spelling of 11224200 in words is "eleven million, two hundred twenty-four thousand, two hundred".