221013312 has 56 divisors (see below), whose sum is σ = 629753376. Its totient is φ = 68003328.

The previous prime is 221013283. The next prime is 221013319. The reversal of 221013312 is 213310122.

It is a junction number, because it is equal to n+sod(n) for n = 221013291 and 221013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013319) by changing a digit.

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, 41778 + ... + 46769.

It is an arithmetic number, because the mean of its divisors is an integer number (11245596).

Almost surely, 2^221013312 is an apocalyptic number.

It is an amenable number.

221013312 is an abundant number, since it is smaller than the sum of its proper divisors (408740064).

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

221013312 is a wasteful number, since it uses less digits than its factorization.

221013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88575 (or 88565 counting only the distinct ones).

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

The square root of 221013312 is about 14866.5164715881. The cubic root of 221013312 is about 604.6064986639.

Adding to 221013312 its reverse (213310122), we get a palindrome (434323434).

The spelling of 221013312 in words is "two hundred twenty-one million, thirteen thousand, three hundred twelve".