Base | Representation |
---|---|
bin | 1101000001100011101… |
… | …0111111011010001000 |
3 | 210101112222011200122200 |
4 | 3100120322333122020 |
5 | 12131223120313043 |
6 | 250443044320200 |
7 | 22110615105642 |
oct | 3203072773210 |
9 | 711488150580 |
10 | 223756416648 |
11 | 86992733696 |
12 | 374476a3060 |
13 | 1813c01164b |
14 | ab89231892 |
15 | 5c48d9c7d3 |
hex | 3418ebf688 |
223756416648 has 108 divisors (see below), whose sum is σ = 612899896245. Its totient is φ = 73746591360.
The previous prime is 223756416643. The next prime is 223756416673. The reversal of 223756416648 is 846614657322.
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.
223756416648 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 564 + 16 + 64 + 8 = 666.
223756416648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 213072713604 + 10683703044 = 461598^2 + 103362^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334482.
It is a junction number, because it is equal to n+sod(n) for n = 223756416594 and 223756416603.
It is not an unprimeable number, because it can be changed into a prime (223756416643) 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 26 ways as a sum of consecutive naturals, for example, 429474628 + ... + 429475148.
Almost surely, 2223756416648 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 223756416648
223756416648 is an abundant number, since it is smaller than the sum of its proper divisors (389143479597).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223756416648 is an equidigital number, since it uses as much as digits as its factorization.
223756416648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1268 (or 633 counting only the distinct ones).
The product of its digits is 11612160, while the sum is 54.
The spelling of 223756416648 in words is "two hundred twenty-three billion, seven hundred fifty-six million, four hundred sixteen thousand, six hundred forty-eight".
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