Base | Representation |
---|---|
bin | 11011110010011… |
… | …10001100010000 |
3 | 121020121220202211 |
4 | 31321032030100 |
5 | 434133313034 |
6 | 35044121504 |
7 | 5530231630 |
oct | 1571161420 |
9 | 536556684 |
10 | 233104144 |
11 | 10a643659 |
12 | 66096294 |
13 | 393a8160 |
14 | 22d5c6c0 |
15 | 156e7d64 |
hex | de4e310 |
233104144 has 80 divisors (see below), whose sum is σ = 571019008. Its totient is φ = 89703936.
The previous prime is 233104139. The next prime is 233104163. The reversal of 233104144 is 441401332.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51709 + ... + 56035.
Almost surely, 2233104144 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 233104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285509504).
233104144 is an abundant number, since it is smaller than the sum of its proper divisors (337914864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233104144 is a wasteful number, since it uses less digits than its factorization.
233104144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4392 (or 4386 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 233104144 is about 15267.7484915098. The cubic root of 233104144 is about 615.4366159455.
Adding to 233104144 its reverse (441401332), we get a palindrome (674505476).
The spelling of 233104144 in words is "two hundred thirty-three million, one hundred four thousand, one hundred forty-four".
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