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226067280117 = 371723311994463
BaseRepresentation
bin1101001010001010101…
…0001111000011110101
3210121112000110201101120
43102202222033003311
512200441210430432
6251504234214153
722222105114140
oct3224252170365
9717460421346
10226067280117
11879690a4608
1237991584359
13184199bb393
14ad280cb057
155d31bb7c2c
hex34a2a8f0f5

226067280117 has 128 divisors (see below), whose sum is σ = 394946150400. Its totient is φ = 111954078720.

The previous prime is 226067280097. The next prime is 226067280169. The reversal of 226067280117 is 711082760622.

226067280117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226067280117 - 211 = 226067278069 is a prime.

It is a super-2 number, since 2×2260672801172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226067280217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50651428 + ... + 50655890.

It is an arithmetic number, because the mean of its divisors is an integer number (3085516800).

Almost surely, 2226067280117 is an apocalyptic number.

It is an amenable number.

226067280117 is a deficient number, since it is larger than the sum of its proper divisors (168878870283).

226067280117 is a wasteful number, since it uses less digits than its factorization.

226067280117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 226067280117 in words is "two hundred twenty-six billion, sixty-seven million, two hundred eighty thousand, one hundred seventeen".

Divisors: 1 3 7 17 21 23 31 51 69 93 119 161 199 217 357 391 483 527 597 651 713 1173 1393 1581 2139 2737 3383 3689 4179 4463 4577 4991 6169 8211 10149 11067 12121 13389 13731 14973 18507 23681 31241 32039 36363 43183 71043 75871 77809 84847 93723 96117 102649 104873 129549 138353 141887 227613 233427 254541 307947 314619 415059 425661 531097 544663 718543 734111 888137 968471 993209 1593291 1633989 1745033 2155629 2202333 2352001 2412079 2664411 2905413 2979627 3182119 5235099 6216959 7056003 7236237 9546357 12215231 15098329 16464007 16884553 18650877 20427151 22274833 27532247 36645693 45294987 49392021 50653659 54096023 61281453 66824499 82596741 105688303 142990057 162288069 192725729 317064909 347261567 378672161 428970171 468048199 578177187 633241681 1041784701 1136016483 1404144597 1899725043 2430830969 3276337393 4432691767 7292492907 9829012179 10765108577 13298075301 32295325731 75355760039 226067280117