211414000 has 80 divisors (see below), whose sum is σ = 584266176. Its totient is φ = 72480000.

The previous prime is 211413997. The next prime is 211414001. The reversal of 211414000 is 414112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6450 + ... + 21550.

Almost surely, 2^211414000 is an apocalyptic number.

211414000 is a gapful number since it is divisible by the number (20) 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 211414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292133088).

211414000 is an abundant number, since it is smaller than the sum of its proper divisors (372852176).

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

211414000 is a wasteful number, since it uses less digits than its factorization.

211414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211414000 is about 14540.0825307149. The cubic root of 211414000 is about 595.7232924185.

Adding to 211414000 its reverse (414112), we get a palindrome (211828112).

The spelling of 211414000 in words is "two hundred eleven million, four hundred fourteen thousand".