211271144 has 48 divisors (see below), whose sum is σ = 469548900. Its totient is φ = 88827648.

The previous prime is 211271143. The next prime is 211271149. The reversal of 211271144 is 441172112.

It can be written as a sum of positive squares in 2 ways, for example, as 182520100 + 28751044 = 13510^2 + 5362^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211271143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15692 + ... + 25860.

Almost surely, 2^211271144 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 211271144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234774450).

211271144 is an abundant number, since it is smaller than the sum of its proper divisors (258277756).

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

211271144 is a wasteful number, since it uses less digits than its factorization.

211271144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10231 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 211271144 is about 14535.1692112614. The cubic root of 211271144 is about 595.5890820977.

The spelling of 211271144 in words is "two hundred eleven million, two hundred seventy-one thousand, one hundred forty-four".