211242200 has 96 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 77199360.

The previous prime is 211242193. The next prime is 211242233. The reversal of 211242200 is 2242112.

211242200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293441 + ... + 294159.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^211242200 is an apocalyptic number.

211242200 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 211242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

211242200 is an abundant number, since it is smaller than the sum of its proper divisors (323098600).

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

211242200 is a wasteful number, since it uses less digits than its factorization.

211242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 211242200 is about 14534.1735231144. The cubic root of 211242200 is about 595.5618824254.

Adding to 211242200 its reverse (2242112), we get a palindrome (213484312).

The spelling of 211242200 in words is "two hundred eleven million, two hundred forty-two thousand, two hundred".