15224 has 16 divisors (see below), whose sum is σ = 31320. Its totient is φ = 6880.

The previous prime is 15217. The next prime is 15227. The reversal of 15224 is 42251.

15224 = 23² + 24² + ... + 38².

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 15199 and 15208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15227) by changing a digit.

15224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 174.

2¹⁵²²⁴ 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 15224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660).

15224 is an abundant number, since it is smaller than the sum of its proper divisors (16096).

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

15224 is a wasteful number, since it uses less digits than its factorization.

15224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 15224 is about 123.3855745215. The cubic root of 15224 is about 24.7842772350.

Adding to 15224 its reverse (42251), we get a palindrome (57475).

It can be divided in two parts, 1 and 5224, that added together give a palindrome (5225).

The spelling of 15224 in words is "fifteen thousand, two hundred twenty-four".