218752842 has 64 divisors (see below), whose sum is σ = 550877184. Its totient is φ = 56255040.

The previous prime is 218752841. The next prime is 218752847. The reversal of 218752842 is 248257812.

218752842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 218752842.

It is not an unprimeable number, because it can be changed into a prime (218752841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45288 + ... + 49884.

It is an arithmetic number, because the mean of its divisors is an integer number (8607456).

Almost surely, 2^218752842 is an apocalyptic number.

218752842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 218752842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275438592).

218752842 is an abundant number, since it is smaller than the sum of its proper divisors (332124342).

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

218752842 is a wasteful number, since it uses less digits than its factorization.

218752842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723.

The product of its digits is 71680, while the sum is 39.

The square root of 218752842 is about 14790.2955345727. The cubic root of 218752842 is about 602.5381754132.

The spelling of 218752842 in words is "two hundred eighteen million, seven hundred fifty-two thousand, eight hundred forty-two".