218305152 has 256 divisors, whose sum is σ = 716284800. Its totient is φ = 65028096.

The previous prime is 218305151. The next prime is 218305159. The reversal of 218305152 is 251503812.

It is a happy number.

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 (218305151) 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, 1931848 + ... + 1931960.

Almost surely, 2^218305152 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 218305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358142400).

218305152 is an abundant number, since it is smaller than the sum of its proper divisors (497979648).

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

218305152 is a wasteful number, since it uses less digits than its factorization.

218305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 218305152 is about 14775.1531971753. The cubic root of 218305152 is about 602.1268519266.

Adding to 218305152 its reverse (251503812), we get a palindrome (469808964).

The spelling of 218305152 in words is "two hundred eighteen million, three hundred five thousand, one hundred fifty-two".