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8226 = 232457
BaseRepresentation
bin10000000100010
3102021200
42000202
5230401
6102030
732661
oct20042
912250
108226
1161a9
124916
13398a
142dd8
152686
hex2022

8226 has 12 divisors (see below), whose sum is σ = 17862. Its totient is φ = 2736.

The previous prime is 8221. The next prime is 8231. The reversal of 8226 is 6228.

It is an interprime number because it is at equal distance from previous prime (8221) and next prime (8231).

It can be written as a sum of positive squares in only one way, i.e., 5625 + 2601 = 75^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 457 = 8226 / (8 + 2 + 2 + 6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8199 and 8208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8226.

It is not an unprimeable number, because it can be changed into a prime (8221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211 + ... + 246.

28226 is an apocalyptic number.

8226 is an abundant number, since it is smaller than the sum of its proper divisors (9636).

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

8226 is a wasteful number, since it uses less digits than its factorization.

8226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 8226 is about 90.6972987470. The cubic root of 8226 is about 20.1865871812.

It can be divided in two parts, 822 and 6, that added together give a palindrome (828).

The spelling of 8226 in words is "eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 457 914 1371 2742 4113 8226