Base | Representation |
---|---|
bin | 1101100001000101110… |
… | …1101001110011000000 |
3 | 211012101220012020221010 |
4 | 3120101131221303000 |
5 | 12301042113020112 |
6 | 254403030400520 |
7 | 22530441542004 |
oct | 3302135516300 |
9 | 735356166833 |
10 | 232221220032 |
11 | 8a53690876a |
12 | 3900a500140 |
13 | 18b8a935449 |
14 | b34d52c704 |
15 | 60920ac63c |
hex | 3611769cc0 |
232221220032 has 112 divisors (see below), whose sum is σ = 647125708032. Its totient is φ = 73349422080.
The previous prime is 232221220013. The next prime is 232221220037. The reversal of 232221220032 is 230022122232.
232221220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 232221219990 and 232221220008.
It is not an unprimeable number, because it can be changed into a prime (232221220037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226782 + ... + 718242.
Almost surely, 2232221220032 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 232221220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323562854016).
232221220032 is an abundant number, since it is smaller than the sum of its proper divisors (414904488000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232221220032 is a wasteful number, since it uses less digits than its factorization.
232221220032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491606 (or 491596 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
Adding to 232221220032 its reverse (230022122232), we get a palindrome (462243342264).
The spelling of 232221220032 in words is "two hundred thirty-two billion, two hundred twenty-one million, two hundred twenty thousand, thirty-two".
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