217282320 has 120 divisors (see below), whose sum is σ = 732828096. Its totient is φ = 57694464.

The previous prime is 217282313. The next prime is 217282333. The reversal of 217282320 is 23282712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220549 + ... + 221531.

Almost surely, 2^217282320 is an apocalyptic number.

217282320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366414048).

217282320 is an abundant number, since it is smaller than the sum of its proper divisors (515545776).

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

217282320 is a wasteful number, since it uses less digits than its factorization.

217282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 217282320 is about 14740.4993131169. The cubic root of 217282320 is about 601.1849914514.

The spelling of 217282320 in words is "two hundred seventeen million, two hundred eighty-two thousand, three hundred twenty".