219252 has 36 divisors (see below), whose sum is σ = 566048. Its totient is φ = 66000.

The previous prime is 219251. The next prime is 219277. The reversal of 219252 is 252912.

219252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (360) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377 + ... + 1527.

2²¹⁹²⁵² is an apocalyptic number.

219252 is a gapful number since it is divisible by the number (22) 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 219252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283024).

219252 is an abundant number, since it is smaller than the sum of its proper divisors (346796).

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

219252 is a wasteful number, since it uses less digits than its factorization.

219252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 219252 is about 468.2435263834. The cubic root of 219252 is about 60.2996124934.

The spelling of 219252 in words is "two hundred nineteen thousand, two hundred fifty-two".