211334000 has 40 divisors (see below), whose sum is σ = 511010448. Its totient is φ = 84532800.

The previous prime is 211333957. The next prime is 211334003. The reversal of 211334000 is 433112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211334003) 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 7 ways as a sum of consecutive naturals, for example, 50834 + ... + 54833.

Almost surely, 2^211334000 is an apocalyptic number.

211334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211334000 is an abundant number, since it is smaller than the sum of its proper divisors (299676448).

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

211334000 is a wasteful number, since it uses less digits than its factorization.

211334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105690 (or 105674 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 211334000 is about 14537.3312543947. The cubic root of 211334000 is about 595.6481414888.

Adding to 211334000 its reverse (433112), we get a palindrome (211767112).

The spelling of 211334000 in words is "two hundred eleven million, three hundred thirty-four thousand".