221233223442231 has 384 divisors, whose sum is σ = 457643493457920. Its totient is φ = 103784409388800.

The previous prime is 221233223442199. The next prime is 221233223442247. The reversal of 221233223442231 is 132244322332122.

221233223442231 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 3 + 223 + 4 + 422 + 3 + 1 = 666.

It is not a de Polignac number, because 221233223442231 - 2⁵ = 221233223442199 is a prime.

It is a super-2 number, since 2×221233223442231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221233223442031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31041559990 + ... + 31041567116.

It is an arithmetic number, because the mean of its divisors is an integer number (1191779930880).

Almost surely, 2^{221233223442231} is an apocalyptic number.

221233223442231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221233223442231 is an abundant number, since it is smaller than the sum of its proper divisors (236410270015689).

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

221233223442231 is a wasteful number, since it uses less digits than its factorization.

221233223442231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10699 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 221233223442231 its reverse (132244322332122), we get a palindrome (353477545774353).

The spelling of 221233223442231 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred twenty-three million, four hundred forty-two thousand, two hundred thirty-one".