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226367350111161 = 3373143918798869
BaseRepresentation
bin110011011110000101000001…
…011111011111101110111001
31002200111111200211200021122000
4303132011001133133232321
5214132300313112024121
62121235420334251213
765452333650306420
oct6336050137375671
91080444624607560
10226367350111161
1166144943831426
122147b613656b09
139940470b8908c
143dc83498bc2b7
151b285031e5526
hexcde1417dfbb9

226367350111161 has 64 divisors (see below), whose sum is σ = 395721083289600. Its totient is φ = 125151578884800.

The previous prime is 226367350111151. The next prime is 226367350111163. The reversal of 226367350111161 is 161111053763622.

226367350111161 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 6 + 73 + 501 + 1 + 11 + 61 = 666.

It is not a de Polignac number, because 226367350111161 - 25 = 226367350111129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226367350111163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21327435 + ... + 30126303.

It is an arithmetic number, because the mean of its divisors is an integer number (6183141926400).

Almost surely, 2226367350111161 is an apocalyptic number.

226367350111161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226367350111161 is a deficient number, since it is larger than the sum of its proper divisors (169353733178439).

226367350111161 is a wasteful number, since it uses less digits than its factorization.

226367350111161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803307 (or 8803301 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 226367350111161 in words is "two hundred twenty-six trillion, three hundred sixty-seven billion, three hundred fifty million, one hundred eleven thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 4391 5859 13173 30737 39519 92211 118557 136121 276633 408363 829899 952847 1225089 2858541 3675267 8575623 8798869 25726869 26396607 61592083 79189821 184776249 237569463 272764939 554328747 818294817 1662986241 1909354573 2454884451 5728063719 7364653353 17184191157 38635833779 51552573471 115907501337 270450836453 347722504011 811352509359 1043167512033 1197710847149 2434057528077 3593132541447 7302172584231 8383975930043 10779397624341 25151927790129 32338192873023 75455783370387 226367350111161