218537020 has 48 divisors (see below), whose sum is σ = 503586720. Its totient is φ = 79163136.

The previous prime is 218537017. The next prime is 218537027. The reversal of 218537020 is 20735812.

218537020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×218537020³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 218537020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218537027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5851 + ... + 21709.

It is an arithmetic number, because the mean of its divisors is an integer number (10491390).

Almost surely, 2^218537020 is an apocalyptic number.

218537020 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 218537020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251793360).

218537020 is an abundant number, since it is smaller than the sum of its proper divisors (285049700).

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

218537020 is a wasteful number, since it uses less digits than its factorization.

218537020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 218537020 is about 14782.9976662381. The cubic root of 218537020 is about 602.3399550798.

The spelling of 218537020 in words is "two hundred eighteen million, five hundred thirty-seven thousand, twenty".