252216 has 48 divisors (see below), whose sum is σ = 711360. Its totient is φ = 80640.

The previous prime is 252209. The next prime is 252223. The reversal of 252216 is 612252.

252216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252209) and next prime (252223).

It is a super-2 number, since 2×252216² = 127225821312, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252216.

It is an unprimeable number.

252216 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 11 ways as a sum of consecutive naturals, for example, 2176 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2²⁵²²¹⁶ 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 252216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355680).

252216 is an abundant number, since it is smaller than the sum of its proper divisors (459144).

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

252216 is a wasteful number, since it uses less digits than its factorization.

252216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 252216 is about 502.2111109882. The cubic root of 252216 is about 63.1816375645.

Adding to 252216 its reverse (612252), we get a palindrome (864468).

The spelling of 252216 in words is "two hundred fifty-two thousand, two hundred sixteen".