211324416 has 80 divisors (see below), whose sum is σ = 596171664. Its totient is φ = 66289664.

The previous prime is 211324387. The next prime is 211324417. The reversal of 211324416 is 614423112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211324417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22066 + ... + 30158.

Almost surely, 2^211324416 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 211324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298085832).

211324416 is an abundant number, since it is smaller than the sum of its proper divisors (384847248).

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

211324416 is an equidigital number, since it uses as much as digits as its factorization.

211324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131 (or 8115 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 211324416 is about 14537.0016165645. The cubic root of 211324416 is about 595.6391371354.

Adding to 211324416 its reverse (614423112), we get a palindrome (825747528).

The spelling of 211324416 in words is "two hundred eleven million, three hundred twenty-four thousand, four hundred sixteen".