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226284171912 = 233662292
BaseRepresentation
bin1101001010111110010…
…1100111001010001000
3210122002010120222000000
43102233211213022020
512201412222000122
6251541543043000
722230350503551
oct3225745471210
9718063528000
10226284171912
1187a6a574627
1237a32140460
131845290b116
14ad48c29328
155d45c5c0ac
hex34af967288

226284171912 has 84 divisors (see below), whose sum is σ = 636235371045. Its totient is φ = 75415948128.

The previous prime is 226284171907. The next prime is 226284171961. The reversal of 226284171912 is 219171482622.

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.

226284171912 is a `hidden beast` number, since 2 + 2 + 628 + 4 + 1 + 7 + 1 + 9 + 12 = 666.

226284171912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226277170596 + 7001316 = 475686^2 + 2646^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336366.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 36324414 + ... + 36330642.

Almost surely, 2226284171912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226284171912

226284171912 is an abundant number, since it is smaller than the sum of its proper divisors (409951199133).

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

226284171912 is an frugal number, since it uses more digits than its factorization.

226284171912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 6234 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 226284171912 in words is "two hundred twenty-six billion, two hundred eighty-four million, one hundred seventy-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6229 12458 18687 24916 37374 49832 56061 74748 112122 149496 168183 224244 336366 448488 504549 672732 1009098 1345464 1513647 2018196 3027294 4036392 4540941 6054588 9081882 12109176 18163764 36327528 38800441 77600882 116401323 155201764 232802646 310403528 349203969 465605292 698407938 931210584 1047611907 1396815876 2095223814 2793631752 3142835721 4190447628 6285671442 8380895256 9428507163 12571342884 18857014326 25142685768 28285521489 37714028652 56571042978 75428057304 113142085956 226284171912