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226171167048 = 233241213672
BaseRepresentation
bin1101001010100011011…
…0100010000101001000
3210121210020221201110200
43102220312202011020
512201144304321143
6251522425012200
722224506125401
oct3225066420510
9717706851420
10226171167048
1187a11800382
1237a00324060
1318435393138
14ad37c109a8
155d3ad891d3
hex34a8da2148

226171167048 has 108 divisors (see below), whose sum is σ = 628311101145. Its totient is φ = 73497793920.

The previous prime is 226171167041. The next prime is 226171167059. The reversal of 226171167048 is 840761171622.

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.

226171167048 is a `hidden beast` number, since 22 + 617 + 1 + 1 + 6 + 7 + 0 + 4 + 8 = 666.

226171167048 is digitally balanced in base 3, 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 161522002404 + 64649164644 = 401898^2 + 254262^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336282.

It is a junction number, because it is equal to n+sod(n) for n = 226171166994 and 226171167012.

It is not an unprimeable number, because it can be changed into a prime (226171167041) 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, 165450061 + ... + 165451427.

Almost surely, 2226171167048 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 226171167048

226171167048 is an abundant number, since it is smaller than the sum of its proper divisors (402139934097).

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

226171167048 is an equidigital number, since it uses as much as digits as its factorization.

226171167048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 226171167048 in words is "two hundred twenty-six billion, one hundred seventy-one million, one hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1367 1476 1681 2734 2952 3362 4101 5043 5468 6724 8202 10086 10936 12303 13448 15129 16404 20172 24606 30258 32808 40344 49212 56047 60516 98424 112094 121032 168141 224188 336282 448376 504423 672564 1008846 1345128 1868689 2017692 2297927 3737378 4035384 4595854 5606067 6893781 7474756 9191708 11212134 13787562 14949512 16818201 18383416 20681343 22424268 27575124 33636402 41362686 44848536 55150248 67272804 76616249 82725372 134545608 153232498 165450744 229848747 306464996 459697494 612929992 689546241 919394988 1379092482 1838789976 2758184964 3141266209 5516369928 6282532418 9423798627 12565064836 18847597254 25130129672 28271395881 37695194508 56542791762 75390389016 113085583524 226171167048