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2264155442252 = 22111926110721839
BaseRepresentation
bin100000111100101010001…
…011100100110001001100
322000110011212220200100022
4200330222023210301030
5244043442243123002
64452045540521312
7322402611500534
oct40745213446114
98013155820308
102264155442252
117a324a7a2340
123069850b0238
131356801b81a2
147b82b27c4c4
153dd688d1ba2
hex20f2a2e4c4c

2264155442252 has 144 divisors (see below), whose sum is σ = 4680285442560. Its totient is φ = 950005411200.

The previous prime is 2264155442189. The next prime is 2264155442279. The reversal of 2264155442252 is 2522445514622.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103663949 + ... + 103685787.

It is an arithmetic number, because the mean of its divisors is an integer number (32501982240).

Almost surely, 22264155442252 is an apocalyptic number.

2264155442252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2264155442252 is an abundant number, since it is smaller than the sum of its proper divisors (2416130000308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2264155442252 is a wasteful number, since it uses less digits than its factorization.

2264155442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22060 (or 22039 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 44.

The spelling of 2264155442252 in words is "two trillion, two hundred sixty-four billion, one hundred fifty-five million, four hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 11 19 22 38 44 61 76 107 122 209 214 244 361 418 428 671 722 836 1159 1177 1342 1444 2033 2318 2354 2684 3971 4066 4636 4708 6527 7942 8132 12749 13054 15884 21839 22021 22363 25498 26108 38627 43678 44042 44726 50996 71797 77254 87356 88084 89452 124013 143594 154508 240229 242231 248026 287188 414941 424897 480458 484462 496052 829882 849794 960916 968924 1332179 1364143 1659764 1699588 2336773 2356247 2664358 2728286 4564351 4673546 4712494 5328716 5456572 7883879 9128702 9347092 9424988 14653969 15767758 18257404 25311401 25704503 25918717 29307938 31535516 44398687 50622802 51409006 51837434 58615876 86722669 88797374 101245604 102818012 103674868 142543153 173445338 177594748 278425411 285086306 346890676 480916619 488385557 556850822 570172612 843575053 961833238 976771114 1113701644 1567974683 1687150106 1923666476 1953542228 2708319907 3135949366 3374300212 5290082809 5416639814 6271898732 9279325583 10580165618 10833279628 18558651166 21160331236 29791518977 37117302332 51458078233 59583037954 102916156466 119166075908 205832312932 566038860563 1132077721126 2264155442252