13132224 has 84 divisors (see below), whose sum is σ = 43031664. Its totient is φ = 3750912.

The previous prime is 13132219. The next prime is 13132237. The reversal of 13132224 is 42223131.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13132197 and 13132206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2404 + ... + 5660.

Almost surely, 2^13132224 is an apocalyptic number.

13132224 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 13132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21515832).

13132224 is an abundant number, since it is smaller than the sum of its proper divisors (29899440).

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

13132224 is a wasteful number, since it uses less digits than its factorization.

13132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3269 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13132224 is about 3623.8410561171. The cubic root of 13132224 is about 235.9279680578.

Adding to 13132224 its reverse (42223131), we get a palindrome (55355355).

The spelling of 13132224 in words is "thirteen million, one hundred thirty-two thousand, two hundred twenty-four".