15220 has 12 divisors (see below), whose sum is σ = 32004. Its totient is φ = 6080.

The previous prime is 15217. The next prime is 15227. The reversal of 15220 is 2251.

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 13456 = 42^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 15197 and 15206.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

2¹⁵²²⁰ is an apocalyptic number.

15220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15220 is an abundant number, since it is smaller than the sum of its proper divisors (16784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002).

15220 is a wasteful number, since it uses less digits than its factorization.

15220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 15220 is about 123.3693641063. The cubic root of 15220 is about 24.7821064128.

Adding to 15220 its reverse (2251), we get a palindrome (17471).

The spelling of 15220 in words is "fifteen thousand, two hundred twenty".