Base | Representation |
---|---|
bin | 1100111111000010011… |
… | …0011011010010000000 |
3 | 210022210211020222020112 |
4 | 3033300212123102000 |
5 | 12123331430442102 |
6 | 250252001130452 |
7 | 22055062115342 |
oct | 3176046332200 |
9 | 708724228215 |
10 | 223079937152 |
11 | 86675899626 |
12 | 37299029a28 |
13 | 18061b18c17 |
14 | ab2345b292 |
15 | 5c097c4252 |
hex | 33f099b480 |
223079937152 has 72 divisors (see below), whose sum is σ = 449705847465. Its totient is φ = 110228110848.
The previous prime is 223079937151. The next prime is 223079937161. The reversal of 223079937152 is 251739970322.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 214057976896 + 9021960256 = 462664^2 + 94984^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=333976.
It is a super-3 number, since 3×2230799371523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 223079937152.
It is not an unprimeable number, because it can be changed into a prime (223079937151) 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 8 ways as a sum of consecutive naturals, for example, 582453953 + ... + 582454335.
Almost surely, 2223079937152 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 223079937152
223079937152 is an abundant number, since it is smaller than the sum of its proper divisors (226625910313).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223079937152 is an frugal number, since it uses more digits than its factorization.
223079937152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 998 (or 494 counting only the distinct ones).
The product of its (nonzero) digits is 1428840, while the sum is 50.
Multiplying 223079937152 by its sum of digits (50), we get a square (11153996857600 = 33397602).
The spelling of 223079937152 in words is "two hundred twenty-three billion, seventy-nine million, nine hundred thirty-seven thousand, one hundred fifty-two".
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