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226413354888 = 23327280112
BaseRepresentation
bin1101001011011101001…
…0011001111110001000
3210122102010200010201200
43102313102121332020
512202143304324023
6252002435544200
722233506522400
oct3226722317610
9718363603650
10226413354888
1188026488716
1237a6945b060
13184735cba56
14ad5c055800
155d52278743
hex34b7499f88

226413354888 has 108 divisors (see below), whose sum is σ = 713406638295. Its totient is φ = 64681454880.

The previous prime is 226413354887. The next prime is 226413354899. The reversal of 226413354888 is 888453314622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226413354888 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 13 + 3 + 548 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113206677444 + 113206677444 = 336462^2 + 336462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336462.

It is not an unprimeable number, because it can be changed into a prime (226413354887) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28258803 + ... + 28266813.

Almost surely, 2226413354888 is an apocalyptic number.

226413354888 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 226413354888

226413354888 is an abundant number, since it is smaller than the sum of its proper divisors (486993283407).

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

226413354888 is an frugal number, since it uses more digits than its factorization.

226413354888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048 (or 8023 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 226413354888 in words is "two hundred twenty-six billion, four hundred thirteen million, three hundred fifty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8011 16022 24033 32044 48066 56077 64088 72099 96132 112154 144198 168231 192264 224308 288396 336462 392539 448616 504693 576792 672924 785078 1009386 1177617 1345848 1570156 2018772 2355234 3140312 3532851 4037544 4710468 7065702 9420936 14131404 28262808 64176121 128352242 192528363 256704484 385056726 449232847 513408968 577585089 770113452 898465694 1155170178 1347698541 1540226904 1796931388 2310340356 2695397082 3144629929 3593862776 4043095623 4620680712 5390794164 6289259858 8086191246 9433889787 10781588328 12578519716 16172382492 18867779574 25157039432 28301669361 32344764984 37735559148 56603338722 75471118296 113206677444 226413354888