218242512 has 100 divisors (see below), whose sum is σ = 664977280. Its totient is φ = 68910912.

The previous prime is 218242489. The next prime is 218242513. The reversal of 218242512 is 215242812.

218242512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218242513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20193 + ... + 29055.

Almost surely, 2^218242512 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 218242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332488640).

218242512 is an abundant number, since it is smaller than the sum of its proper divisors (446734768).

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

218242512 is a wasteful number, since it uses less digits than its factorization.

218242512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8887 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 218242512 is about 14773.0332701175. The cubic root of 218242512 is about 602.0692554327.

It can be divided in two parts, 21824 and 2512, that added together give a square (24336 = 156²).

The spelling of 218242512 in words is "two hundred eighteen million, two hundred forty-two thousand, five hundred twelve".