Base | Representation |
---|---|
bin | 100000101000010101100… |
… | …010101001011000000110 |
3 | 21221100212010122110001100 |
4 | 200220111202221120012 |
5 | 243214300042114142 |
6 | 4434040354440530 |
7 | 321001064225532 |
oct | 40502542513006 |
9 | 7840763573040 |
10 | 2242334332422 |
11 | 794a72300578 |
12 | 3026b5293146 |
13 | 1335b343bb92 |
14 | 7a75b186bc2 |
15 | 3d4dcd3cb4c |
hex | 20a158a9606 |
2242334332422 has 96 divisors (see below), whose sum is σ = 5154618703104. Its totient is φ = 703242777600.
The previous prime is 2242334332363. The next prime is 2242334332429.
2242334332422 is a `hidden beast` number, since 2 + 242 + 3 + 343 + 32 + 42 + 2 = 666.
2242334332422 is nontrivially palindromic in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2242334332429) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27232258 + ... + 27314474.
It is an arithmetic number, because the mean of its divisors is an integer number (53693944824).
Almost surely, 22242334332422 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2242334332422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577309351552).
2242334332422 is an abundant number, since it is smaller than the sum of its proper divisors (2912284370682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242334332422 is a wasteful number, since it uses less digits than its factorization.
2242334332422 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83614 (or 83611 counting only the distinct ones).
The product of its digits is 331776, while the sum is 36.
The spelling of 2242334332422 in words is "two trillion, two hundred forty-two billion, three hundred thirty-four million, three hundred thirty-two thousand, four hundred twenty-two".
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