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22132333341 = 3211321762373
BaseRepresentation
bin10100100111001100…
…001001101100011101
32010010102220000200200
4110213030021230131
5330311334131331
614100100414113
71412313505116
oct244714115435
963112800620
1022132333341
119428141688
1243580a7339
1321193a6841
1410dd58b20d
1589806d5e6
hex527309b1d

22132333341 has 12 divisors (see below), whose sum is σ = 32251838268. Its totient is φ = 14624313984.

The previous prime is 22132333339. The next prime is 22132333373. The reversal of 22132333341 is 14333323122.

22132333341 is a `hidden beast` number, since 2 + 2 + 1 + 323 + 3 + 334 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1098922500 + 21033410841 = 33150^2 + 145029^2 .

It is not a de Polignac number, because 22132333341 - 21 = 22132333339 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132331341) 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 11 ways as a sum of consecutive naturals, for example, 10880170 + ... + 10882203.

It is an arithmetic number, because the mean of its divisors is an integer number (2687653189).

Almost surely, 222132333341 is an apocalyptic number.

It is an amenable number.

22132333341 is a deficient number, since it is larger than the sum of its proper divisors (10119504927).

22132333341 is a wasteful number, since it uses less digits than its factorization.

22132333341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21762492 (or 21762489 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 22132333341 its reverse (14333323122), we get a palindrome (36465656463).

The spelling of 22132333341 in words is "twenty-two billion, one hundred thirty-two million, three hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 113 339 1017 21762373 65287119 195861357 2459148149 7377444447 22132333341