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2230223226 = 2371147271379
BaseRepresentation
bin1000010011101110…
…1000000101111010
312202102120002010020
42010323220011322
514031414120401
61005145231310
7106160404350
oct20473500572
95672502106
102230223226
11a449a27a0
12522a92536
1329708411a
141722a77d0
15d0bdbd36
hex84ee817a

2230223226 has 128 divisors (see below), whose sum is σ = 5715394560. Its totient is φ = 563371200.

The previous prime is 2230223189. The next prime is 2230223227. The reversal of 2230223226 is 6223220322.

It is a junction number, because it is equal to n+sod(n) for n = 2230223196 and 2230223205.

It is not an unprimeable number, because it can be changed into a prime (2230223227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5884305 + ... + 5884683.

It is an arithmetic number, because the mean of its divisors is an integer number (44651520).

Almost surely, 22230223226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230223226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857697280).

2230223226 is an abundant number, since it is smaller than the sum of its proper divisors (3485171334).

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

2230223226 is a wasteful number, since it uses less digits than its factorization.

2230223226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2230223226 is about 47225.2392900237. The cubic root of 2230223226 is about 1306.5201480716.

Adding to 2230223226 its reverse (6223220322), we get a palindrome (8453443548).

It can be divided in two parts, 2230 and 223226, that added together give a triangular number (225456 = T671).

The spelling of 2230223226 in words is "two billion, two hundred thirty million, two hundred twenty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 271 282 329 379 462 517 542 658 758 813 987 1034 1137 1551 1626 1897 1974 2274 2653 2981 3102 3619 3794 4169 5306 5691 5962 7238 7959 8338 8943 10857 11382 12507 12737 15918 17813 17886 20867 21714 25014 25474 29183 35626 38211 41734 53439 58366 62601 76422 87549 89159 102709 106878 124691 125202 140107 175098 178318 195943 205418 249382 267477 280214 308127 374073 391886 420321 534954 587829 616254 718963 748146 840642 980749 1129799 1175658 1371601 1437926 1961498 2156889 2259598 2743202 2942247 3389397 4114803 4313778 4827323 5884494 6778794 7908593 8229606 9654646 14481969 15817186 23725779 28963938 33791261 47451558 53100553 67582522 101373783 106201106 159301659 202747566 318603318 371703871 743407742 1115111613 2230223226