218209152 has 96 divisors (see below), whose sum is σ = 674307720. Its totient is φ = 62340096.

The previous prime is 218209087. The next prime is 218209181. The reversal of 218209152 is 251902812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13018 + ... + 24614.

Almost surely, 2^218209152 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 218209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337153860).

218209152 is an abundant number, since it is smaller than the sum of its proper divisors (456098568).

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

218209152 is a wasteful number, since it uses less digits than its factorization.

218209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 218209152 is about 14771.9041426622. The cubic root of 218209152 is about 602.0385769402.

The spelling of 218209152 in words is "two hundred eighteen million, two hundred nine thousand, one hundred fifty-two".