211950 has 48 divisors (see below), whose sum is σ = 587760. Its totient is φ = 56160.

The previous prime is 211949. The next prime is 211969. The reversal of 211950 is 59112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

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 23 ways as a sum of consecutive naturals, for example, 1272 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (12245).

2²¹¹⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293880).

211950 is an abundant number, since it is smaller than the sum of its proper divisors (375810).

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

211950 is a wasteful number, since it uses less digits than its factorization.

211950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 211950 is about 460.3802775967. The cubic root of 211950 is about 59.6226315265.

The spelling of 211950 in words is "two hundred eleven thousand, nine hundred fifty".