211330224 has 120 divisors (see below), whose sum is σ = 697828352. Its totient is φ = 58423680.

The previous prime is 211330211. The next prime is 211330267. The reversal of 211330224 is 422033112.

211330224 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 211330197 and 211330206.

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 23 ways as a sum of consecutive naturals, for example, 27867 + ... + 34629.

Almost surely, 2^211330224 is an apocalyptic number.

211330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348914176).

211330224 is an abundant number, since it is smaller than the sum of its proper divisors (486498128).

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

211330224 is a wasteful number, since it uses less digits than its factorization.

211330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 211330224 is about 14537.2013812838. The cubic root of 211330224 is about 595.6445938963.

Adding to 211330224 its reverse (422033112), we get a palindrome (633363336).

The spelling of 211330224 in words is "two hundred eleven million, three hundred thirty thousand, two hundred twenty-four".