11224800 has 108 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 2991360.

The previous prime is 11224799. The next prime is 11224813. The reversal of 11224800 is 842211.

It is a super-2 number, since 2×11224800² = 251992270080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6421 + ... + 7979.

It is an arithmetic number, because the mean of its divisors is an integer number (366730).

Almost surely, 2^11224800 is an apocalyptic number.

11224800 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 11224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

11224800 is an abundant number, since it is smaller than the sum of its proper divisors (28382040).

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

11224800 is a wasteful number, since it uses less digits than its factorization.

11224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1569 counting only the distinct ones).

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

The square root of 11224800 is about 3350.3432659953. The cubic root of 11224800 is about 223.9028064733.

The spelling of 11224800 in words is "eleven million, two hundred twenty-four thousand, eight hundred".