217714980 has 96 divisors (see below), whose sum is σ = 699745536. Its totient is φ = 49545216.

The previous prime is 217714969. The next prime is 217714997. The reversal of 217714980 is 89417712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106932 + ... + 108948.

It is an arithmetic number, because the mean of its divisors is an integer number (7289016).

Almost surely, 2^217714980 is an apocalyptic number.

217714980 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 217714980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349872768).

217714980 is an abundant number, since it is smaller than the sum of its proper divisors (482030556).

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

217714980 is a wasteful number, since it uses less digits than its factorization.

217714980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 217714980 is about 14755.1679082280. The cubic root of 217714980 is about 601.5837602718.

The spelling of 217714980 in words is "two hundred seventeen million, seven hundred fourteen thousand, nine hundred eighty".