221113431 has 72 divisors (see below), whose sum is σ = 426816000. Its totient is φ = 108773280.

The previous prime is 221113397. The next prime is 221113433. The reversal of 221113431 is 134311122.

221113431 is a `hidden beast` number, since 221 + 1 + 13 + 431 = 666.

It is not a de Polignac number, because 221113431 - 2⁷ = 221113303 is a prime.

It is a super-2 number, since 2×221113431² = 97782298737183522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221113433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90970 + ... + 93368.

It is an arithmetic number, because the mean of its divisors is an integer number (5928000).

Almost surely, 2^221113431 is an apocalyptic number.

221113431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221113431 is a deficient number, since it is larger than the sum of its proper divisors (205702569).

221113431 is a wasteful number, since it uses less digits than its factorization.

221113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2439 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 221113431 is about 14869.8833552923. The cubic root of 221113431 is about 604.6977804354.

Adding to 221113431 its reverse (134311122), we get a palindrome (355424553).

The spelling of 221113431 in words is "two hundred twenty-one million, one hundred thirteen thousand, four hundred thirty-one".