13144224 has 48 divisors (see below), whose sum is σ = 36009792. Its totient is φ = 4190208.

The previous prime is 13144211. The next prime is 13144249. The reversal of 13144224 is 42244131.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13144224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (750204).

Almost surely, 2^13144224 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 13144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896).

13144224 is an abundant number, since it is smaller than the sum of its proper divisors (22865568).

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

13144224 is a wasteful number, since it uses less digits than its factorization.

13144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5981 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 13144224 is about 3625.4963798079. The cubic root of 13144224 is about 235.9998084840. Note that the first 3 decimals are identical.

Adding to 13144224 its reverse (42244131), we get a palindrome (55388355).

The spelling of 13144224 in words is "thirteen million, one hundred forty-four thousand, two hundred twenty-four".