211140904 has 32 divisors (see below), whose sum is σ = 430584840. Its totient is φ = 96480000.

The previous prime is 211140899. The next prime is 211140931. The reversal of 211140904 is 409041112.

It can be written as a sum of positive squares in 4 ways, for example, as 182304004 + 28836900 = 13502^2 + 5370^2 .

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 7 ways as a sum of consecutive naturals, for example, 454 + ... + 20554.

Almost surely, 2^211140904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211140904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215292420).

211140904 is an abundant number, since it is smaller than the sum of its proper divisors (219443936).

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

211140904 is a wasteful number, since it uses less digits than its factorization.

211140904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 211140904 is about 14530.6883525867. The cubic root of 211140904 is about 595.4666715222.

The spelling of 211140904 in words is "two hundred eleven million, one hundred forty thousand, nine hundred four".