219952 has 20 divisors (see below), whose sum is σ = 435240. Its totient is φ = 107648.

The previous prime is 219943. The next prime is 219953. The reversal of 219952 is 259912.

219952 is nontrivially palindromic in base 6.

219952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 219952.

It is not an unprimeable number, because it can be changed into a prime (219953) 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, 828 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

219952 is a Friedman number, since it can be written as (52*9+1)^2-9, using all its digits and the basic arithmetic operations.

2²¹⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

219952 is a deficient number, since it is larger than the sum of its proper divisors (215288).

219952 is a wasteful number, since it uses less digits than its factorization.

219952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The square root of 219952 is about 468.9904050191. The cubic root of 219952 is about 60.3637166408.

The spelling of 219952 in words is "two hundred nineteen thousand, nine hundred fifty-two".