13188224 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 5498880.

The previous prime is 13188221. The next prime is 13188239. The reversal of 13188224 is 42288131.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13188221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36557 + ... + 36915.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^13188224 is an apocalyptic number.

13188224 is a gapful number since it is divisible by the number (14) 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 13188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13188224 is an abundant number, since it is smaller than the sum of its proper divisors (17656576).

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

13188224 is an equidigital number, since it uses as much as digits as its factorization.

13188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 13188224 is about 3631.5594446463. The cubic root of 13188224 is about 236.2628499118.

The spelling of 13188224 in words is "thirteen million, one hundred eighty-eight thousand, two hundred twenty-four".