211310816 has 48 divisors (see below), whose sum is σ = 442260000. Its totient is φ = 99041280.

The previous prime is 211310809. The next prime is 211310819. The reversal of 211310816 is 618013112.

It is a junction number, because it is equal to n+sod(n) for n = 211310791 and 211310800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168560 + ... + 169808.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^211310816 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 211310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130000).

211310816 is an abundant number, since it is smaller than the sum of its proper divisors (230949184).

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

211310816 is a wasteful number, since it uses less digits than its factorization.

211310816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 211310816 is about 14536.5338371979. The cubic root of 211310816 is about 595.6263592050.

Adding to 211310816 its reverse (618013112), we get a palindrome (829323928).

The spelling of 211310816 in words is "two hundred eleven million, three hundred ten thousand, eight hundred sixteen".