Base | Representation |
---|---|
bin | 11011110100000… |
… | …00111111100010 |
3 | 121021000111012120 |
4 | 31322000333202 |
5 | 434211442401 |
6 | 35052405110 |
7 | 5532056400 |
oct | 1572007742 |
9 | 537014176 |
10 | 233312226 |
11 | 10a775a24 |
12 | 66176796 |
13 | 3944ba94 |
14 | 22db4470 |
15 | 15739836 |
hex | de80fe2 |
233312226 has 48 divisors (see below), whose sum is σ = 544436640. Its totient is φ = 66460800.
The previous prime is 233312203. The next prime is 233312237. The reversal of 233312226 is 622213332.
It is a nude number because it is divisible by every one of its digits.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 233312196 and 233312205.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116905 + ... + 118883.
It is an arithmetic number, because the mean of its divisors is an integer number (11342430).
Almost surely, 2233312226 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233312226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272218320).
233312226 is an abundant number, since it is smaller than the sum of its proper divisors (311124414).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233312226 is a wasteful number, since it uses less digits than its factorization.
233312226 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2399 (or 2392 counting only the distinct ones).
The product of its digits is 2592, while the sum is 24.
The square root of 233312226 is about 15274.5614012318. The cubic root of 233312226 is about 615.6196860441.
Adding to 233312226 its reverse (622213332), we get a palindrome (855525558).
The spelling of 233312226 in words is "two hundred thirty-three million, three hundred twelve thousand, two hundred twenty-six".
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