211005200 has 120 divisors (see below), whose sum is σ = 583980480. Its totient is φ = 71769600.

The previous prime is 211005061. The next prime is 211005209. The reversal of 211005200 is 2500112.

It is not an unprimeable number, because it can be changed into a prime (211005209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 500990 + ... + 501410.

It is an arithmetic number, because the mean of its divisors is an integer number (4866504).

Almost surely, 2^211005200 is an apocalyptic number.

211005200 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 211005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291990240).

211005200 is an abundant number, since it is smaller than the sum of its proper divisors (372975280).

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

211005200 is a wasteful number, since it uses less digits than its factorization.

211005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 211005200 is about 14526.0180366128. The cubic root of 211005200 is about 595.3390718547.

Adding to 211005200 its reverse (2500112), we get a palindrome (213505312).

The spelling of 211005200 in words is "two hundred eleven million, five thousand, two hundred".