219988224 has 135 divisors (see below), whose sum is σ = 662395503. Its totient is φ = 72617472.

The previous prime is 219988207. The next prime is 219988231. The reversal of 219988224 is 422889912.

It is a happy number.

The square root of 219988224 is 14832.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (165888) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 219988224.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2135757 + ... + 2135859.

Almost surely, 2^219988224 is an apocalyptic number.

219988224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

219988224 is the 14832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219988224

219988224 is an abundant number, since it is smaller than the sum of its proper divisors (442407279).

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

219988224 is an frugal number, since it uses more digits than its factorization.

219988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 108 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 219988224 is about 603.6703023538.

The spelling of 219988224 in words is "two hundred nineteen million, nine hundred eighty-eight thousand, two hundred twenty-four".