219152 has 10 divisors (see below), whose sum is σ = 424638. Its totient is φ = 109568.

The previous prime is 219143. The next prime is 219169. The reversal of 219152 is 251912.

219152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 92416 = 356^2 + 304^2 .

It is a plaindrome in base 13.

It is an unprimeable number.

219152 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 as a sum of consecutive naturals, namely, 6833 + ... + 6864.

2²¹⁹¹⁵² is an apocalyptic number.

It is an amenable number.

219152 is a deficient number, since it is larger than the sum of its proper divisors (205486).

219152 is a wasteful number, since it uses less digits than its factorization.

219152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13699 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 219152 is about 468.1367321627. The cubic root of 219152 is about 60.2904436249.

The spelling of 219152 in words is "two hundred nineteen thousand, one hundred fifty-two".