211414112 has 96 divisors (see below), whose sum is σ = 519321600. Its totient is φ = 82487808.

The previous prime is 211414103. The next prime is 211414157.

211414112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229589 + ... + 230507.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2^211414112 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 211414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

211414112 is an abundant number, since it is smaller than the sum of its proper divisors (307907488).

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

211414112 is a wasteful number, since it uses less digits than its factorization.

211414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 211414112 is about 14540.0863821368. The cubic root of 211414112 is about 595.7233976166.

The spelling of 211414112 in words is "two hundred eleven million, four hundred fourteen thousand, one hundred twelve".