213219216 has 200 divisors, whose sum is σ = 742998080. Its totient is φ = 57666816.

The previous prime is 213219211. The next prime is 213219233. The reversal of 213219216 is 612912312.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213219216.

It is not an unprimeable number, because it can be changed into a prime (213219211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171750 + ... + 172986.

Almost surely, 2^213219216 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 213219216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371499040).

213219216 is an abundant number, since it is smaller than the sum of its proper divisors (529778864).

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

213219216 is a wasteful number, since it uses less digits than its factorization.

213219216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1268 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 213219216 is about 14602.0278043839. The cubic root of 213219216 is about 597.4140709630.

The spelling of 213219216 in words is "two hundred thirteen million, two hundred nineteen thousand, two hundred sixteen".