Base | Representation |
---|---|
bin | 110100111001011010110100… |
… | …001111001110101010011000 |
3 | 1010111201120101212100202022210 |
4 | 310321122310033032222120 |
5 | 220443120331421234412 |
6 | 2142443140320315120 |
7 | 100000663464656562 |
oct | 6471326417165230 |
9 | 1114646355322283 |
10 | 232644222446232 |
11 | 68144951604103 |
12 | 22114013472aa0 |
13 | 9ca73436a992c |
14 | 416407cdac332 |
15 | 1bd692421083c |
hex | d396b43cea98 |
232644222446232 has 256 divisors, whose sum is σ = 635381827200000. Its totient is φ = 70730010777600.
The previous prime is 232644222446191. The next prime is 232644222446239.
232644222446232 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2326442224462322 (a number of 30 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232644222446239) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2844055269 + ... + 2844137067.
It is an arithmetic number, because the mean of its divisors is an integer number (2481960262500).
Almost surely, 2232644222446232 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 232644222446232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317690913600000).
232644222446232 is an abundant number, since it is smaller than the sum of its proper divisors (402737604753768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232644222446232 is a wasteful number, since it uses less digits than its factorization.
232644222446232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83634 (or 83630 counting only the distinct ones).
The product of its digits is 10616832, while the sum is 48.
The spelling of 232644222446232 in words is "two hundred thirty-two trillion, six hundred forty-four billion, two hundred twenty-two million, four hundred forty-six thousand, two hundred thirty-two".
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