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222131332302032 = 2431767021653461
BaseRepresentation
bin110010100000011011111011…
…001001111100010011010000
31002010111112210110211121121202
4302200123323021330103100
5213103344432032131112
62104233420355410332
764534313330106356
oct6240337311742320
91063445713747552
10222131332302032
116486140715055a
1220ab66598b39a8
1396c3b82a164aa
143cbd2dcb297d6
151aa322bbd76c2
hexca06fb27c4d0

222131332302032 has 40 divisors (see below), whose sum is σ = 431744222756712. Its totient is φ = 110713479897600.

The previous prime is 222131332302001. The next prime is 222131332302037. The reversal of 222131332302032 is 230203233131222.

It can be written as a sum of positive squares in 4 ways, for example, as 39690554401936 + 182440777900096 = 6300044^2 + 13507064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222131332301986 and 222131332302004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222131332302037) 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 7 ways as a sum of consecutive naturals, for example, 339603782 + ... + 340257242.

Almost surely, 2222131332302032 is an apocalyptic number.

It is an amenable number.

222131332302032 is a deficient number, since it is larger than the sum of its proper divisors (209612890454680).

222131332302032 is a wasteful number, since it uses less digits than its factorization.

222131332302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720807 (or 720801 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 222131332302032 its reverse (230203233131222), we get a palindrome (452334565433254).

The spelling of 222131332302032 in words is "two hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 317 634 1268 2536 5072 67021 134042 268084 536168 653461 1072336 1306922 2613844 5227688 10455376 21245657 42491314 84982628 169965256 207147137 339930512 414294274 828588548 1657177096 3314354192 43795609681 87591219362 175182438724 350364877448 700729754896 13883208268877 27766416537754 55532833075508 111065666151016 222131332302032