211950000 has 240 divisors, whose sum is σ = 765263520. Its totient is φ = 56160000.

The previous prime is 211949993. The next prime is 211950017. The reversal of 211950000 is 59112.

211950000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349922 + ... + 1350078.

It is an arithmetic number, because the mean of its divisors is an integer number (3188598).

Almost surely, 2^211950000 is an apocalyptic number.

211950000 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 211950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382631760).

211950000 is an abundant number, since it is smaller than the sum of its proper divisors (553313520).

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

211950000 is an equidigital number, since it uses as much as digits as its factorization.

211950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

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

The square root of 211950000 is about 14558.5026702611. The cubic root of 211950000 is about 596.2263152650.

The spelling of 211950000 in words is "two hundred eleven million, nine hundred fifty thousand".