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2225959897779 = 33292972814041
BaseRepresentation
bin100000011001000101100…
…011001000101010110011
321212210120222020222111000
4200121011203020222303
5242432231213212104
64422331501453043
7316551234642162
oct40310543105263
97783528228430
102225959897779
1178902a371462
122bb4a5571183
13131ba3c259b7
1479a465c73d9
153cd80533639
hex206458c8ab3

2225959897779 has 16 divisors (see below), whose sum is σ = 3297832100640. Its totient is φ = 1483922085120.

The previous prime is 2225959897771. The next prime is 2225959897813. The reversal of 2225959897779 is 9777989595222.

It is not a de Polignac number, because 2225959897779 - 23 = 2225959897771 is a prime.

It is a super-3 number, since 3×22259598977793 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2225959897698 and 2225959897707.

It is not an unprimeable number, because it can be changed into a prime (2225959897771) 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 15 ways as a sum of consecutive naturals, for example, 616002 + ... + 2198039.

It is an arithmetic number, because the mean of its divisors is an integer number (206114506290).

Almost surely, 22225959897779 is an apocalyptic number.

2225959897779 is a deficient number, since it is larger than the sum of its proper divisors (1071872202861).

2225959897779 is a wasteful number, since it uses less digits than its factorization.

2225959897779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843347 (or 2843341 counting only the distinct ones).

The product of its digits is 3600676800, while the sum is 81.

The spelling of 2225959897779 in words is "two trillion, two hundred twenty-five billion, nine hundred fifty-nine million, eight hundred ninety-seven thousand, seven hundred seventy-nine".

Divisors: 1 3 9 27 29297 87891 263673 791019 2814041 8442123 25326369 75979107 82442959177 247328877531 741986632593 2225959897779