Base | Representation |
---|---|
bin | 1100111111010001101… |
… | …1000011100010000000 |
3 | 210022222021221000022122 |
4 | 3033310123003202000 |
5 | 12123444340041102 |
6 | 250302211423412 |
7 | 22056501154421 |
oct | 3176433034200 |
9 | 708867830278 |
10 | 223144065152 |
11 | 866a9009978 |
12 | 372b65b4b68 |
13 | 180721aca98 |
14 | ab2bb91648 |
15 | 5c102400a2 |
hex | 33f46c3880 |
223144065152 has 72 divisors (see below), whose sum is σ = 455592692295. Its totient is φ = 108865102080.
The previous prime is 223144065113. The next prime is 223144065187. The reversal of 223144065152 is 251560441322.
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 only one way, i.e., 111572032576 + 111572032576 = 334024^2 + 334024^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334024.
It is a super-3 number, since 3×2231440651523 (a number of 35 digits) contains 333 as substring.
It is a Duffinian number.
It is an unprimeable number.
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, 229808027 + ... + 229808997.
Almost surely, 2223144065152 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 223144065152
223144065152 is an abundant number, since it is smaller than the sum of its proper divisors (232448627143).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223144065152 is an frugal number, since it uses more digits than its factorization.
223144065152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2042 (or 1016 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 35.
The spelling of 223144065152 in words is "two hundred twenty-three billion, one hundred forty-four million, sixty-five thousand, one hundred fifty-two".
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