217313280 has 260 divisors, whose sum is σ = 784959912. Its totient is φ = 57507840.

The previous prime is 217313273. The next prime is 217313287. The reversal of 217313280 is 82313712.

It is an interprime number because it is at equal distance from previous prime (217313273) and next prime (217313287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217313287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658815 + ... + 1658945.

Almost surely, 2^217313280 is an apocalyptic number.

217313280 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 217313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392479956).

217313280 is an abundant number, since it is smaller than the sum of its proper divisors (567646632).

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

217313280 is an equidigital number, since it uses as much as digits as its factorization.

217313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217313280 is about 14741.5494436643. The cubic root of 217313280 is about 601.2135438640.

Adding to 217313280 its reverse (82313712), we get a palindrome (299626992).

The spelling of 217313280 in words is "two hundred seventeen million, three hundred thirteen thousand, two hundred eighty".