219068256 has 96 divisors (see below), whose sum is σ = 664288128. Its totient is φ = 62474240.

The previous prime is 219068197. The next prime is 219068257. The reversal of 219068256 is 652860912.

219068256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219068257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11851 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (6919668).

Almost surely, 2^219068256 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 219068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332144064).

219068256 is an abundant number, since it is smaller than the sum of its proper divisors (445219872).

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

219068256 is a wasteful number, since it uses less digits than its factorization.

219068256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12244 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 219068256 is about 14800.9545638111. The cubic root of 219068256 is about 602.8276310156.

The spelling of 219068256 in words is "two hundred nineteen million, sixty-eight thousand, two hundred fifty-six".