Search a number
-
+
226033 = 3741149
BaseRepresentation
bin110111001011110001
3102111001121
4313023301
524213113
64502241
71630663
oct671361
9374047
10226033
11144905
12aa981
137bb62
145c533
1546e8d
hex372f1

226033 has 8 divisors (see below), whose sum is σ = 239400. Its totient is φ = 213120.

The previous prime is 226027. The next prime is 226063. The reversal of 226033 is 330622.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 222784 = 57^2 + 472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 226033 - 25 = 226001 is a prime.

It is a Duffinian number.

226033 is a lucky number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 225998 and 226016.

It is not an unprimeable number, because it can be changed into a prime (226013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1443 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2226033 is an apocalyptic number.

It is an amenable number.

226033 is a deficient number, since it is larger than the sum of its proper divisors (13367).

226033 is a wasteful number, since it uses less digits than its factorization.

226033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 226033 is about 475.4292797041. The cubic root of 226033 is about 60.9149580880.

Adding to 226033 its reverse (330622), we get a palindrome (556655).

The spelling of 226033 in words is "two hundred twenty-six thousand, thirty-three".

Divisors: 1 37 41 149 1517 5513 6109 226033