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22021606216225 = 527311795129363
BaseRepresentation
bin1010000000111010011100…
…00001000001001000100001
32212222020121121012212022101
411000131032001001020201
510341300222142404400
6114500330343210401
74432002634234000
oct500351601011041
985866547185271
1022021606216225
117020346674970
122577b27446a01
13c39822c24025
14561bcc464c37
15282c74b0a56a
hex14074e041221

22021606216225 has 96 divisors (see below), whose sum is σ = 34745176166400. Its totient is φ = 13725560520000.

The previous prime is 22021606216219. The next prime is 22021606216241. The reversal of 22021606216225 is 52261260612022.

It is a de Polignac number, because none of the positive numbers 2k-22021606216225 is a prime.

It is a super-2 number, since 2×220216062162252 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 749963394 + ... + 749992756.

It is an arithmetic number, because the mean of its divisors is an integer number (361928918400).

Almost surely, 222021606216225 is an apocalyptic number.

22021606216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22021606216225 is a deficient number, since it is larger than the sum of its proper divisors (12723569950175).

22021606216225 is a wasteful number, since it uses less digits than its factorization.

22021606216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37356 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 22021606216225 its reverse (52261260612022), we get a palindrome (74282866828247).

The spelling of 22021606216225 in words is "twenty-two trillion, twenty-one billion, six hundred six million, two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 175 245 275 343 385 539 1225 1715 1925 2695 3773 7951 8575 13475 18865 29363 39755 55657 87461 94325 146815 198775 205541 278285 322993 389599 437305 612227 734075 1027705 1391425 1438787 1614965 1947995 2186525 2260951 2727193 3061135 4285589 5138525 7193935 8074825 9739975 10071509 11304755 13635965 15305675 15826657 21427945 29999123 35969675 50357545 56523775 68179825 79133285 107139725 110786599 149995615 233465213 251787725 395666425 553932995 749978075 1167326065 1634256491 2568117343 2769664975 5836630325 8171282455 11439795437 12840586715 17976821401 40856412275 57198977185 64202933575 80078568059 89884107005 125837749807 285994885925 400392840295 449420535025 629188749035 880864248649 2001964201475 3145943745175 4404321243245 22021606216225