Search a number
-
+
226336 = 2511643
BaseRepresentation
bin110111010000100000
3102111110211
4313100200
524220321
64503504
71631605
oct672040
9374424
10226336
11145060
12aab94
137c036
145c6ac
15470e1
hex37420

226336 has 24 divisors (see below), whose sum is σ = 486864. Its totient is φ = 102720.

The previous prime is 226313. The next prime is 226337. The reversal of 226336 is 633622.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 211 + 215 + 38 + 62 + 311 + 65 .

It is not an unprimeable number, because it can be changed into a prime (226337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (20286).

2226336 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 226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432).

226336 is an abundant number, since it is smaller than the sum of its proper divisors (260528).

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

226336 is a wasteful number, since it uses less digits than its factorization.

226336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 226336 is about 475.7478323650. The cubic root of 226336 is about 60.9421650165.

Adding to 226336 its reverse (633622), we get a palindrome (859958).

The spelling of 226336 in words is "two hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 643 1286 2572 5144 7073 10288 14146 20576 28292 56584 113168 226336