218714112 has 156 divisors (see below), whose sum is σ = 670842900. Its totient is φ = 68419584.

The previous prime is 218714101. The next prime is 218714159. The reversal of 218714112 is 211417812.

It can be written as a sum of positive squares in 2 ways, for example, as 165482496 + 53231616 = 12864^2 + 7296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626514 + ... + 626862.

It is an arithmetic number, because the mean of its divisors is an integer number (4300275).

Almost surely, 2^218714112 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 218714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335421450).

218714112 is an abundant number, since it is smaller than the sum of its proper divisors (452128788).

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

218714112 is a wasteful number, since it uses less digits than its factorization.

218714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 218714112 is about 14788.9861721485. The cubic root of 218714112 is about 602.5026136948.

The spelling of 218714112 in words is "two hundred eighteen million, seven hundred fourteen thousand, one hundred twelve".