Base | Representation |
---|---|
bin | 1100111011100000001… |
… | …0111100010101000000 |
3 | 210020100200212121202210 |
4 | 3032320002330111000 |
5 | 12114411031024412 |
6 | 250013504342120 |
7 | 22022421202122 |
oct | 3167002742500 |
9 | 706320777683 |
10 | 222131111232 |
11 | 86229248678 |
12 | 37073314940 |
13 | 17c40388674 |
14 | aa73431212 |
15 | 5ba135083c |
hex | 33b80bc540 |
222131111232 has 112 divisors (see below), whose sum is σ = 606416912640. Its totient is φ = 71720927232.
The previous prime is 222131111203. The next prime is 222131111243. The reversal of 222131111232 is 232111131222.
It is a super-3 number, since 3×2221311112323 (a number of 35 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 222131111199 and 222131111208.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748444 + ... + 1002212.
It is an arithmetic number, because the mean of its divisors is an integer number (5414436720).
Almost surely, 2222131111232 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 222131111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303208456320).
222131111232 is an abundant number, since it is smaller than the sum of its proper divisors (384285801408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222131111232 is a wasteful number, since it uses less digits than its factorization.
222131111232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 253928 (or 253918 counting only the distinct ones).
The product of its digits is 288, while the sum is 21.
Adding to 222131111232 its reverse (232111131222), we get a palindrome (454242242454).
The spelling of 222131111232 in words is "two hundred twenty-two billion, one hundred thirty-one million, one hundred eleven thousand, two hundred thirty-two".
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