221252221431 has 48 divisors (see below), whose sum is σ = 329766712704. Its totient is φ = 142875758592.

The previous prime is 221252221391. The next prime is 221252221481. The reversal of 221252221431 is 134122252122.

221252221431 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 5 + 2 + 221 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-221252221431 is a prime.

It is a super-2 number, since 2×221252221431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221252221395 and 221252221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221252221481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16076005 + ... + 16089761.

It is an arithmetic number, because the mean of its divisors is an integer number (6870139848).

Almost surely, 2^221252221431 is an apocalyptic number.

221252221431 is a deficient number, since it is larger than the sum of its proper divisors (108514491273).

221252221431 is a wasteful number, since it uses less digits than its factorization.

221252221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14197 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 221252221431 its reverse (134122252122), we get a palindrome (355374473553).

The spelling of 221252221431 in words is "two hundred twenty-one billion, two hundred fifty-two million, two hundred twenty-one thousand, four hundred thirty-one".