218852172 has 96 divisors (see below), whose sum is σ = 707427840. Its totient is φ = 56842560.

The previous prime is 218852149. The next prime is 218852209. The reversal of 218852172 is 271258812.

218852172 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4843 + ... + 21474.

It is an arithmetic number, because the mean of its divisors is an integer number (7369040).

Almost surely, 2^218852172 is an apocalyptic number.

218852172 is a gapful number since it is divisible by the number (22) 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 218852172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353713920).

218852172 is an abundant number, since it is smaller than the sum of its proper divisors (488575668).

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

218852172 is a wasteful number, since it uses less digits than its factorization.

218852172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26348 (or 26340 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 218852172 is about 14793.6530985420. The cubic root of 218852172 is about 602.6293606064.

It can be divided in two parts, 218852 and 172, that added together give a square (219024 = 468²).

The spelling of 218852172 in words is "two hundred eighteen million, eight hundred fifty-two thousand, one hundred seventy-two".