219338368 has 64 divisors (see below), whose sum is σ = 464538600. Its totient is φ = 102961152.

The previous prime is 219338363. The next prime is 219338377. The reversal of 219338368 is 863833912.

219338368 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 4 ways, for example, as 198471744 + 20866624 = 14088^2 + 4568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (219338363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 136546 + ... + 138142.

Almost surely, 2^219338368 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 219338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232269300).

219338368 is an abundant number, since it is smaller than the sum of its proper divisors (245200232).

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

219338368 is a wasteful number, since it uses less digits than its factorization.

219338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 219338368 is about 14810.0765696873. The cubic root of 219338368 is about 603.0752921815.

The spelling of 219338368 in words is "two hundred nineteen million, three hundred thirty-eight thousand, three hundred sixty-eight".