13224288 has 96 divisors (see below), whose sum is σ = 43303680. Its totient is φ = 3432960.

The previous prime is 13224271. The next prime is 13224313. The reversal of 13224288 is 88242231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6498 + ... + 8286.

It is an arithmetic number, because the mean of its divisors is an integer number (451080).

Almost surely, 2^13224288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651840).

13224288 is an abundant number, since it is smaller than the sum of its proper divisors (30079392).

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

13224288 is a wasteful number, since it uses less digits than its factorization.

13224288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 13224288 is about 3636.5214147589. The cubic root of 13224288 is about 236.4780122797.

The spelling of 13224288 in words is "thirteen million, two hundred twenty-four thousand, two hundred eighty-eight".