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22245540304221 = 32133715823324763
BaseRepresentation
bin1010000111011011100011…
…00001110001010101011101
32220202122121221201012020100
411003231301201301111131
510403432331304213341
6115151243220011313
74454121140462133
oct503556141612535
986678557635210
1022245540304221
1170a730a61a683
1225b3402530b39
13c5498c9a2640
1456c993105753
152889ce3a13b6
hex143b7187155d

22245540304221 has 48 divisors (see below), whose sum is σ = 35541777246976. Its totient is φ = 13318692271488.

The previous prime is 22245540304189. The next prime is 22245540304291. The reversal of 22245540304221 is 12240304554222.

22245540304221 is a `hidden beast` number, since 2 + 2 + 2 + 45 + 540 + 30 + 42 + 2 + 1 = 666.

It is not a de Polignac number, because 22245540304221 - 25 = 22245540304189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22245540304291) 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, 68335386 + ... + 68660148.

Almost surely, 222245540304221 is an apocalyptic number.

It is an amenable number.

22245540304221 is a deficient number, since it is larger than the sum of its proper divisors (13296236942755).

22245540304221 is a wasteful number, since it uses less digits than its factorization.

22245540304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340642 (or 340639 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 22245540304221 its reverse (12240304554222), we get a palindrome (34485844858443).

The spelling of 22245540304221 in words is "twenty-two trillion, two hundred forty-five billion, five hundred forty million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 15823 47469 142407 205699 324763 585451 617097 974289 1756353 1851291 2922867 4221919 5269059 7610863 12016231 12665757 22832589 36048693 37997271 68497767 108146079 156211003 468633009 1405899027 5138724949 15416174847 46248524541 66803424337 190132823113 200410273011 570398469339 601230819033 1711195408017 2471726700469 7415180101407 22245540304221