217252280 has 96 divisors (see below), whose sum is σ = 572508000. Its totient is φ = 73979136.

The previous prime is 217252249. The next prime is 217252303. The reversal of 217252280 is 82252712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389762 + ... + 390318.

It is an arithmetic number, because the mean of its divisors is an integer number (5963625).

Almost surely, 2^217252280 is an apocalyptic number.

217252280 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 217252280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286254000).

217252280 is an abundant number, since it is smaller than the sum of its proper divisors (355255720).

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

217252280 is a wasteful number, since it uses less digits than its factorization.

217252280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 217252280 is about 14739.4803164833. The cubic root of 217252280 is about 601.1572849028.

The spelling of 217252280 in words is "two hundred seventeen million, two hundred fifty-two thousand, two hundred eighty".