13224904 has 48 divisors (see below), whose sum is σ = 31477680. Its totient is φ = 5150880.

The previous prime is 13224901. The next prime is 13224917. The reversal of 13224904 is 40942231.

13224904 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13224904 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13224901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 5845.

It is an arithmetic number, because the mean of its divisors is an integer number (655785).

Almost surely, 2^13224904 is an apocalyptic number.

13224904 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 13224904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738840).

13224904 is an abundant number, since it is smaller than the sum of its proper divisors (18252776).

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

13224904 is a wasteful number, since it uses less digits than its factorization.

13224904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13224904 is about 3636.6061100977. The cubic root of 13224904 is about 236.4816840135.

It can be divided in two parts, 1322 and 4904, that added together give a palindrome (6226).

The spelling of 13224904 in words is "thirteen million, two hundred twenty-four thousand, nine hundred four".