211945940 has 48 divisors (see below), whose sum is σ = 459406080. Its totient is φ = 82093440.

The previous prime is 211945927. The next prime is 211945963. The reversal of 211945940 is 49549112.

It is a self number, because there is not a number n which added to its sum of digits gives 211945940.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82475 + ... + 85005.

It is an arithmetic number, because the mean of its divisors is an integer number (9570960).

Almost surely, 2^211945940 is an apocalyptic number.

211945940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211945940 is an abundant number, since it is smaller than the sum of its proper divisors (247460140).

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

211945940 is a wasteful number, since it uses less digits than its factorization.

211945940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 211945940 is about 14558.3632321769. The cubic root of 211945940 is about 596.2225082440. Note that the first 3 decimals are identical.

The spelling of 211945940 in words is "two hundred eleven million, nine hundred forty-five thousand, nine hundred forty".