211972000 has 96 divisors (see below), whose sum is σ = 525404880. Its totient is φ = 84044800.

The previous prime is 211971971. The next prime is 211972039. The reversal of 211972000 is 279112.

It can be written as a sum of positive squares in 8 ways, for example, as 11806096 + 200165904 = 3436^2 + 14148^2 .

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, 787866 + ... + 788134.

Almost surely, 2^211972000 is an apocalyptic number.

211972000 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 211972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262702440).

211972000 is an abundant number, since it is smaller than the sum of its proper divisors (313432880).

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

211972000 is a wasteful number, since it uses less digits than its factorization.

211972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 211972000 is about 14559.2582228629. The cubic root of 211972000 is about 596.2469435974.

The spelling of 211972000 in words is "two hundred eleven million, nine hundred seventy-two thousand".