Base | Representation |
---|---|
bin | 1100111111100100000… |
… | …0100010011101101001 |
3 | 210100011122200201010222 |
4 | 3033321000202131221 |
5 | 12124124034000131 |
6 | 250314000415425 |
7 | 22061424123404 |
oct | 3177100423551 |
9 | 710148621128 |
10 | 223221000041 |
11 | 86738487226 |
12 | 37318317575 |
13 | 18085108ca0 |
14 | ab3809ad3b |
15 | 5c16d8a87b |
hex | 33f9022769 |
223221000041 has 16 divisors (see below), whose sum is σ = 243935193600. Its totient is φ = 203023723968.
The previous prime is 223221000029. The next prime is 223221000083. The reversal of 223221000041 is 140000122322.
223221000041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a de Polignac number, because none of the positive numbers 2k-223221000041 is a prime.
It is a super-3 number, since 3×2232210000413 (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 junction number, because it is equal to n+sod(n) for n = 223220999983 and 223221000019.
It is not an unprimeable number, because it can be changed into a prime (223221000001) 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 15 ways as a sum of consecutive naturals, for example, 276995 + ... + 723303.
It is an arithmetic number, because the mean of its divisors is an integer number (15245949600).
Almost surely, 2223221000041 is an apocalyptic number.
It is an amenable number.
223221000041 is a deficient number, since it is larger than the sum of its proper divisors (20714193559).
223221000041 is a wasteful number, since it uses less digits than its factorization.
223221000041 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446888.
The product of its (nonzero) digits is 192, while the sum is 17.
Adding to 223221000041 its reverse (140000122322), we get a palindrome (363221122363).
The spelling of 223221000041 in words is "two hundred twenty-three billion, two hundred twenty-one million, forty-one", and thus it is an aban number.
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