211305192 has 64 divisors (see below), whose sum is σ = 607152000. Its totient is φ = 60030720.

The previous prime is 211305181. The next prime is 211305217. The reversal of 211305192 is 291503112.

211305192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26934 + ... + 33882.

It is an arithmetic number, because the mean of its divisors is an integer number (9486750).

Almost surely, 2^211305192 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 211305192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303576000).

211305192 is an abundant number, since it is smaller than the sum of its proper divisors (395846808).

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

211305192 is a wasteful number, since it uses less digits than its factorization.

211305192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 211305192 is about 14536.3403922721. The cubic root of 211305192 is about 595.6210749947.

The spelling of 211305192 in words is "two hundred eleven million, three hundred five thousand, one hundred ninety-two".