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225055540215 = 325118946710939
BaseRepresentation
bin1101000110011001011…
…0110000001111110111
3210111220111201000011100
43101212112300033313
512141403204241330
6251220013141143
722155041346132
oct3214626601767
9714814630140
10225055540215
1187499a92430
123774a78a7b3
13182b820070c
14ac6d9a5219
155cc2e68060
hex34665b03f7

225055540215 has 96 divisors (see below), whose sum is σ = 431302060800. Its totient is φ = 107650920960.

The previous prime is 225055540207. The next prime is 225055540231. The reversal of 225055540215 is 512045550522.

225055540215 is a `hidden beast` number, since 2 + 2 + 50 + 55 + 540 + 2 + 15 = 666.

It is not a de Polignac number, because 225055540215 - 23 = 225055540207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225055540215.

It is a congruent number.

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, 20568216 + ... + 20579154.

It is an arithmetic number, because the mean of its divisors is an integer number (4492729800).

Almost surely, 2225055540215 is an apocalyptic number.

225055540215 is a deficient number, since it is larger than the sum of its proper divisors (206246520585).

225055540215 is a wasteful number, since it uses less digits than its factorization.

225055540215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 225055540215 in words is "two hundred twenty-five billion, fifty-five million, five hundred forty thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 89 99 165 267 445 467 495 801 979 1335 1401 2335 2937 4005 4203 4895 5137 7005 8811 10939 14685 15411 21015 25685 32817 41563 44055 46233 54695 77055 98451 120329 124689 164085 207815 231165 360987 374067 457193 492255 601645 623445 973571 1082961 1371579 1804935 1870335 2285965 2920713 4114737 4867855 5108513 5414805 6857895 8762139 10709281 14603565 15325539 20573685 25542565 32127843 43810695 45976617 53546405 56193643 76627695 96383529 160639215 168580929 229883085 280968215 454657657 481917645 505742787 842904645 1363972971 2273288285 2528713935 4091918913 5001234227 6819864855 15003702681 20459594565 25006171135 45011108043 75018513405 225055540215