219888816 has 80 divisors (see below), whose sum is σ = 654434304. Its totient is φ = 62318592.

The previous prime is 219888803. The next prime is 219888821. The reversal of 219888816 is 618888912.

It is a happy number.

219888816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40096 + ... + 45248.

Almost surely, 2^219888816 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 219888816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327217152).

219888816 is an abundant number, since it is smaller than the sum of its proper divisors (434545488).

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

219888816 is a wasteful number, since it uses less digits than its factorization.

219888816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5292 counting only the distinct ones).

The product of its digits is 442368, while the sum is 51.

The square root of 219888816 is about 14828.6484886520. The cubic root of 219888816 is about 603.5793600636.

The spelling of 219888816 in words is "two hundred nineteen million, eight hundred eighty-eight thousand, eight hundred sixteen".