217102816 has 96 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 85059072.

The previous prime is 217102813. The next prime is 217102859. The reversal of 217102816 is 618201712.

217102816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217102811) 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, 122545 + ... + 124303.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2^217102816 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 217102816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

217102816 is an abundant number, since it is smaller than the sum of its proper divisors (315121184).

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

217102816 is a wasteful number, since it uses less digits than its factorization.

217102816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 217102816 is about 14734.4092518160. The cubic root of 217102816 is about 601.0193930082.

The spelling of 217102816 in words is "two hundred seventeen million, one hundred two thousand, eight hundred sixteen".