211686112 has 72 divisors (see below), whose sum is σ = 478206288. Its totient is φ = 91998720.

The previous prime is 211686077. The next prime is 211686127.

211686112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211686112² = 89622020027353088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 87868 + ... + 90244.

It is an arithmetic number, because the mean of its divisors is an integer number (6641754).

Almost surely, 2^211686112 is an apocalyptic number.

211686112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211686112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239103144).

211686112 is an abundant number, since it is smaller than the sum of its proper divisors (266520176).

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

211686112 is a wasteful number, since it uses less digits than its factorization.

211686112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2413 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 211686112 is about 14549.4368275889. The cubic root of 211686112 is about 595.9787689688.

The spelling of 211686112 in words is "two hundred eleven million, six hundred eighty-six thousand, one hundred twelve".