219189152 has 72 divisors (see below), whose sum is σ = 540646596. Its totient is φ = 86704128.

The previous prime is 219189133. The next prime is 219189161. The reversal of 219189152 is 251981912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 217739536 + 1449616 = 14756^2 + 1204^2 .

It is a super-3 number, since 3×219189152³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15008 + ... + 25760.

Almost surely, 2^219189152 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 219189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270323298).

219189152 is an abundant number, since it is smaller than the sum of its proper divisors (321457444).

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

219189152 is a wasteful number, since it uses less digits than its factorization.

219189152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10775 counting only the distinct ones).

The product of its digits is 12960, while the sum is 38.

The square root of 219189152 is about 14805.0380614168. The cubic root of 219189152 is about 602.9385036848.

The spelling of 219189152 in words is "two hundred nineteen million, one hundred eighty-nine thousand, one hundred fifty-two".