221141312 has 84 divisors (see below), whose sum is σ = 514953504. Its totient is φ = 93945600.

The previous prime is 221141257. The next prime is 221141351. The reversal of 221141312 is 213141122.

221141312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473303 + ... + 473769.

Almost surely, 2^221141312 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 221141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257476752).

221141312 is an abundant number, since it is smaller than the sum of its proper divisors (293812192).

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

221141312 is a wasteful number, since it uses less digits than its factorization.

221141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 221141312 is about 14870.8208246889. The cubic root of 221141312 is about 604.7231955510.

Adding to 221141312 its reverse (213141122), we get a palindrome (434282434).

The spelling of 221141312 in words is "two hundred twenty-one million, one hundred forty-one thousand, three hundred twelve".