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223229353671268 = 227283179384719927
BaseRepresentation
bin110010110000011010100010…
…010101000011101001100100
31002021101111222110202112012121
4302300122202111003221210
5213224342204014440033
62110434052132155324
765006534324543200
oct6260324225035144
91067344873675177
10223229353671268
116514504562aa0a
1221053416a68b44
13977358c8b9b19
143d1a5034dbb00
151ac1a93ae762d
hexcb06a2543a64

223229353671268 has 144 divisors (see below), whose sum is σ = 462618999198720. Its totient is φ = 93959900161344.

The previous prime is 223229353671227. The next prime is 223229353671283. The reversal of 223229353671268 is 862176353922322.

It is a super-3 number, since 3×2232293536712683 (a number of 44 digits) contains 333 as substring.

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, 11202346321 + ... + 11202366247.

It is an arithmetic number, because the mean of its divisors is an integer number (3212631938880).

Almost surely, 2223229353671268 is an apocalyptic number.

223229353671268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223229353671268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231309499599360).

223229353671268 is an abundant number, since it is smaller than the sum of its proper divisors (239389645527452).

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

223229353671268 is a wasteful number, since it uses less digits than its factorization.

223229353671268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24054 (or 24045 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 61.

The spelling of 223229353671268 in words is "two hundred twenty-three trillion, two hundred twenty-nine billion, three hundred fifty-three million, six hundred seventy-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 83 98 166 179 196 332 358 581 716 1162 1253 2324 2506 3847 4067 5012 7694 8134 8771 14857 15388 16268 17542 19927 26929 29714 35084 39854 53858 59428 79708 103999 107716 139489 188503 207998 278978 319301 377006 415996 557956 638602 688613 727993 754012 976423 1277204 1377226 1455986 1653941 1952846 2235107 2754452 2911972 3307882 3566933 3905692 4470214 4820291 6615764 7133866 8940428 9640582 11577587 14267732 15645749 19281164 23155174 24968531 31291498 33742037 46310348 49937062 57154879 62582996 67484074 76659169 81043109 99874124 114309758 134968148 153318338 162086218 174779717 228619516 296055439 306636676 324172436 349559434 400084153 536614183 592110878 699118868 800168306 1073228366 1184221756 1600336612 2072388073 2146456732 2800589071 3756299281 4144776146 5601178142 6362711027 7512598562 8289552292 11202356284 12725422054 13721991251 14506716511 15025197124 25450844108 27443982502 29013433022 44538977189 54887965004 58026866044 89077954378 96053938757 178155908756 192107877514 311772840323 384215755028 623545680646 672377571299 1138925273833 1247091361292 1344755142598 2277850547666 2689510285196 4555701095332 7972476916831 15944953833662 31889907667324 55807338417817 111614676835634 223229353671268