Base | Representation |
---|---|
bin | 1010001011011011000100… |
… | …00110111010000110000100 |
3 | 2221020202201021120002120201 |
4 | 11011231202012322012010 |
5 | 10413204302430314234 |
6 | 115334251352540244 |
7 | 4500045452420302 |
oct | 505554206720604 |
9 | 87222637502521 |
10 | 22382720557444 |
11 | 714a505269285 |
12 | 2615b079b1684 |
13 | c648b2312300 |
14 | 57548804d272 |
15 | 28c35c787314 |
hex | 145b621ba184 |
22382720557444 has 243 divisors, whose sum is σ = 45802026465741. Its totient is φ = 9565023386880.
The previous prime is 22382720557369. The next prime is 22382720557447. The reversal of 22382720557444 is 44475502728322.
The square root of 22382720557444 is 4731038.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 18618034079044 + 3764686478400 = 4314862^2 + 1940280^2 .
It is a super-2 number, since 2×223827205574442 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22382720557447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 142565099014 + ... + 142565099170.
Almost surely, 222382720557444 is an apocalyptic number.
22382720557444 is the 4731038-th square number.
It is an amenable number.
22382720557444 is an abundant number, since it is smaller than the sum of its proper divisors (23419305908297).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22382720557444 is a wasteful number, since it uses less digits than its factorization.
22382720557444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 504 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 30105600, while the sum is 55.
The spelling of 22382720557444 in words is "twenty-two trillion, three hundred eighty-two billion, seven hundred twenty million, five hundred fifty-seven thousand, four hundred forty-four".
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