211133322 has 48 divisors (see below), whose sum is σ = 477613032. Its totient is φ = 67340160.

The previous prime is 211133297. The next prime is 211133323. The reversal of 211133322 is 223331112.

211133322 is a `hidden beast` number, since 211 + 133 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164634561 + 46498761 = 12831^2 + 6819^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 211133295 and 211133304.

It is not an unprimeable number, because it can be changed into a prime (211133323) 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 23 ways as a sum of consecutive naturals, for example, 38028 + ... + 43224.

Almost surely, 2^211133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238806516).

211133322 is an abundant number, since it is smaller than the sum of its proper divisors (266479710).

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

211133322 is a wasteful number, since it uses less digits than its factorization.

211133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5300 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 211133322 is about 14530.4274541391. The cubic root of 211133322 is about 595.4595437665.

Adding to 211133322 its reverse (223331112), we get a palindrome (434464434).

The spelling of 211133322 in words is "two hundred eleven million, one hundred thirty-three thousand, three hundred twenty-two".