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226226 = 271113113
BaseRepresentation
bin110111001110110010
3102111022202
4313032302
524214401
64503202
71631360
oct671662
9374282
10226226
11144a70
12aab02
137bc80
145c630
154706b
hex373b2

226226 has 32 divisors (see below), whose sum is σ = 459648. Its totient is φ = 80640.

The previous prime is 226217. The next prime is 226231. The reversal of 226226 is 622622.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226198 and 226207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226226.

It is an unprimeable number.

226226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2226226 is an apocalyptic number.

226226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

226226 is an abundant number, since it is smaller than the sum of its proper divisors (233422).

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

226226 is a wasteful number, since it uses less digits than its factorization.

226226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its digits is 576, while the sum is 20.

The square root of 226226 is about 475.6322108520. The cubic root of 226226 is about 60.9322907228.

Adding to 226226 its reverse (622622), we get a palindrome (848848).

The spelling of 226226 in words is "two hundred twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 113 143 154 182 226 286 791 1001 1243 1469 1582 2002 2486 2938 8701 10283 16159 17402 20566 32318 113113 226226