211130304 has 112 divisors (see below), whose sum is σ = 696504576. Its totient is φ = 54835200.

The previous prime is 211130287. The next prime is 211130371. The reversal of 211130304 is 403031112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7644 + ... + 21924.

Almost surely, 2^211130304 is an apocalyptic number.

211130304 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 211130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348252288).

211130304 is an abundant number, since it is smaller than the sum of its proper divisors (485374272).

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

211130304 is a wasteful number, since it uses less digits than its factorization.

211130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14314 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211130304 is about 14530.3236027282. The cubic root of 211130304 is about 595.4567065301.

Adding to 211130304 its reverse (403031112), we get a palindrome (614161416).

It can be divided in two parts, 21 and 1130304, that multiplied together give a square (23736384 = 4872²).

The spelling of 211130304 in words is "two hundred eleven million, one hundred thirty thousand, three hundred four".