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226547055173312 = 26171911396983417
BaseRepresentation
bin110011100000101100011000…
…101111111001111011000000
31002201010200112210110022012122
4303200230120233321323000
5214143221332111021222
62121454140321343412
765501325135162416
oct6340543057717300
91081120483408178
10226547055173312
1166204080637415
12214aa406497b68
1399543ac685993
143dd2d164612b6
151b2d01ea8ea42
hexce0b18bf9ec0

226547055173312 has 112 divisors (see below), whose sum is σ = 505485333289440. Its totient is φ = 100105506127872.

The previous prime is 226547055173279. The next prime is 226547055173353. The reversal of 226547055173312 is 213371550745622.

226547055173312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46155773 + ... + 50827644.

It is an arithmetic number, because the mean of its divisors is an integer number (4513261904370).

Almost surely, 2226547055173312 is an apocalyptic number.

It is an amenable number.

226547055173312 is an abundant number, since it is smaller than the sum of its proper divisors (278938278116128).

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

226547055173312 is a wasteful number, since it uses less digits than its factorization.

226547055173312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96983578 (or 96983568 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 226547055173312 in words is "two hundred twenty-six trillion, five hundred forty-seven billion, fifty-five million, one hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 113 136 152 226 272 304 323 452 544 608 646 904 1088 1216 1292 1808 1921 2147 2584 3616 3842 4294 5168 7232 7684 8588 10336 15368 17176 20672 30736 34352 36499 61472 68704 72998 122944 137408 145996 291992 583984 1167968 2335936 96983417 193966834 387933668 775867336 1551734672 1648718089 1842684923 3103469344 3297436178 3685369846 6206938688 6594872356 7370739692 10959126121 13189744712 14741479384 21918252242 26379489424 29482958768 31325643691 43836504484 52758978848 58965917536 62651287382 87673008968 105517957696 117931835072 125302574764 175346017936 186305144057 208223396299 250605149528 350692035872 372610288114 416446792598 501210299056 701384071744 745220576228 832893585196 1002420598112 1490441152456 1665787170392 2004841196224 2980882304912 3331574340784 3539797737083 5961764609824 6663148681568 7079595474166 11923529219648 13326297363136 14159190948332 28318381896664 56636763793328 113273527586656 226547055173312