217234816 has 64 divisors (see below), whose sum is σ = 456282720. Its totient is φ = 102817792.

The previous prime is 217234813. The next prime is 217234859. The reversal of 217234816 is 618432712.

217234816 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217234813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332346 + ... + 332998.

Almost surely, 2^217234816 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 217234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228141360).

217234816 is an abundant number, since it is smaller than the sum of its proper divisors (239047904).

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

217234816 is a wasteful number, since it uses less digits than its factorization.

217234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 217234816 is about 14738.8878820622. The cubic root of 217234816 is about 601.1411762999.

The spelling of 217234816 in words is "two hundred seventeen million, two hundred thirty-four thousand, eight hundred sixteen".