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226269 = 3231811
BaseRepresentation
bin110111001111011101
3102111101100
4313033131
524220034
64503313
71631451
oct671735
9374340
10226269
11144aaa
12aab39
137bcb4
145c661
1547099
hex373dd

226269 has 12 divisors (see below), whose sum is σ = 337792. Its totient is φ = 145800.

The previous prime is 226267. The next prime is 226283. The reversal of 226269 is 962622.

It is not a de Polignac number, because 226269 - 21 = 226267 is a prime.

It is a super-3 number, since 3×2262693 = 34753330236669327, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 211 + 215 + 217 + 62 + 64 + 95 .

It is a Duffinian number.

It is a Curzon number.

226269 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 684.

2226269 is an apocalyptic number.

It is an amenable number.

226269 is a deficient number, since it is larger than the sum of its proper divisors (111523).

226269 is a wasteful number, since it uses less digits than its factorization.

226269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 226269 is about 475.6774116983. The cubic root of 226269 is about 60.9361510550.

The spelling of 226269 in words is "two hundred twenty-six thousand, two hundred sixty-nine".

Divisors: 1 3 9 31 93 279 811 2433 7299 25141 75423 226269