218282240 has 144 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 77045760.

The previous prime is 218282221. The next prime is 218282297. The reversal of 218282240 is 42282812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520751 + ... + 521169.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^218282240 is an apocalyptic number.

218282240 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 218282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

218282240 is an abundant number, since it is smaller than the sum of its proper divisors (368918080).

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

218282240 is a wasteful number, since it uses less digits than its factorization.

218282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 218282240 is about 14774.3778210793. The cubic root of 218282240 is about 602.1057859814.

The spelling of 218282240 in words is "two hundred eighteen million, two hundred eighty-two thousand, two hundred forty".