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12223432221 = 37112133773137
BaseRepresentation
bin10110110001001001…
…01100011000011101
31011112212112200201220
423120210230120131
5200013144312341
65340530323553
7611623313430
oct133044543035
934485480656
1012223432221
115202899600
1224517295b9
1311ca534540
1483d57d817
154b81a7a66
hex2d892c61d

12223432221 has 192 divisors, whose sum is σ = 23121928704. Its totient is φ = 5583790080.

The previous prime is 12223432219. The next prime is 12223432253.

12223432221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12223432221 - 21 = 12223432219 is a prime.

It is a super-2 number, since 2×122234322212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12223432191 and 12223432200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223432261) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89222065 + ... + 89222201.

It is an arithmetic number, because the mean of its divisors is an integer number (120426712).

Almost surely, 212223432221 is an apocalyptic number.

12223432221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12223432221 is a deficient number, since it is larger than the sum of its proper divisors (10898496483).

12223432221 is a wasteful number, since it uses less digits than its factorization.

12223432221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

It can be divided in two parts, 12223 and 432221, that added together give a palindrome (444444).

The spelling of 12223432221 in words is "twelve billion, two hundred twenty-three million, four hundred thirty-two thousand, two hundred twenty-one".