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9221795901081 = 325327122692
BaseRepresentation
bin1000011000110001110111…
…0111100110111010011001
31012122121001210221000020100
42012030131313212322121
52202042214222313311
631340233510250013
71641152461552341
oct206143567467231
935577053830210
109221795901081
112a35a3a413415
12104b2b4956909
1351b7c496cc4a
1423c4a17b9d21
1510ed303b5a56
hex8631dde6e99

9221795901081 has 81 divisors (see below), whose sum is σ = 13821733555357. Its totient is φ = 5924803160640.

The previous prime is 9221795901067. The next prime is 9221795901121. The reversal of 9221795901081 is 1801095971229.

It is a happy number.

The square root of 9221795901081 is 3036741.

It is a perfect power (a square), and thus also a powerful number.

9221795901081 is a `hidden beast` number, since 9 + 22 + 17 + 9 + 590 + 10 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790810025625 + 8430985875456 = 889275^2 + 2903616^2 .

It is not a de Polignac number, because 9221795901081 - 25 = 9221795901049 is a prime.

It is a super-2 number, since 2×92217959010812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9221795901281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34281769015 + ... + 34281769283.

Almost surely, 29221795901081 is an apocalyptic number.

9221795901081 is the 3036741-st square number.

9221795901081 is the 1518371-st centered octagonal number.

It is an amenable number.

9221795901081 is a deficient number, since it is larger than the sum of its proper divisors (4599937654276).

9221795901081 is an frugal number, since it uses more digits than its factorization.

9221795901081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 9221795901081 in words is "nine trillion, two hundred twenty-one billion, seven hundred ninety-five million, nine hundred one thousand, eighty-one".

Divisors: 1 3 9 53 71 159 213 269 477 639 807 2421 2809 3763 5041 8427 11289 14257 15123 19099 25281 33867 42771 45369 57297 72361 128313 171891 199439 217083 267173 598317 651249 755621 801519 1012247 1356029 1794951 2266863 2404557 3036741 3835133 4068087 5137631 6800589 9110223 11505399 12204261 14160169 15412893 34516197 42480507 46238679 53649091 71869537 127441521 160947273 203262049 215608611 272294443 364771801 482841819 609786147 646825833 816883329 1094315403 1829358441 2450649987 3282946209 3809085461 11427256383 14431605479 19332905453 34281769149 43294816437 57998716359 129884449311 173996149077 1024643989009 3073931967027 9221795901081