210221312 has 72 divisors (see below), whose sum is σ = 486439296. Its totient is φ = 88805376.

The previous prime is 210221279. The next prime is 210221327. The reversal of 210221312 is 213122012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 130013 + ... + 131619.

Almost surely, 2^210221312 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 210221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243219648).

210221312 is an abundant number, since it is smaller than the sum of its proper divisors (276217984).

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

210221312 is an equidigital number, since it uses as much as digits as its factorization.

210221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 210221312 is about 14499.0107248736. The cubic root of 210221312 is about 594.6009253428.

Adding to 210221312 its reverse (213122012), we get a palindrome (423343324).

The spelling of 210221312 in words is "two hundred ten million, two hundred twenty-one thousand, three hundred twelve".