Base | Representation |
---|---|
bin | 11011110101011… |
… | …11100101010000 |
3 | 121021101011222100 |
4 | 31322233211100 |
5 | 434234044211 |
6 | 35100440400 |
7 | 5533512633 |
oct | 1572574520 |
9 | 537334870 |
10 | 233503056 |
11 | 10a896336 |
12 | 66249100 |
13 | 394b78b7 |
14 | 23023c1a |
15 | 15776156 |
hex | deaf950 |
233503056 has 120 divisors (see below), whose sum is σ = 672187880. Its totient is φ = 75644928.
The previous prime is 233503031. The next prime is 233503057. The reversal of 233503056 is 650305332.
233503056 is a `hidden beast` number, since 2 + 3 + 350 + 305 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 88059456 + 145443600 = 9384^2 + 12060^2 .
It is a super-2 number, since 2×2335030562 = 109047354322678272, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233503057) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019550 + ... + 1019778.
Almost surely, 2233503056 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 233503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336093940).
233503056 is an abundant number, since it is smaller than the sum of its proper divisors (438684824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233503056 is a wasteful number, since it uses less digits than its factorization.
233503056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 413 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 8100, while the sum is 27.
The square root of 233503056 is about 15280.8067849836. The cubic root of 233503056 is about 615.7874822086.
Adding to 233503056 its reverse (650305332), we get a palindrome (883808388).
The spelling of 233503056 in words is "two hundred thirty-three million, five hundred three thousand, fifty-six".
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