22516 has 12 divisors (see below), whose sum is σ = 42532. Its totient is φ = 10368.

The previous prime is 22511. The next prime is 22531. The reversal of 22516 is 61522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 19600 = 54^2 + 140^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 22516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22511) 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, 165 + ... + 268.

2²²⁵¹⁶ is an apocalyptic number.

22516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22516 is a deficient number, since it is larger than the sum of its proper divisors (20016).

22516 is a wasteful number, since it uses less digits than its factorization.

22516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 22516 is about 150.0533238552. The cubic root of 22516 is about 28.2377710926.

Subtracting from 22516 its sum of digits (16), we obtain a square (22500 = 150²).

It can be divided in two parts, 225 and 16, that multiplied together give a square (3600 = 60²).

The spelling of 22516 in words is "twenty-two thousand, five hundred sixteen".