Base | Representation |
---|---|
bin | 110010101110110101000000… |
… | …001101111000010110111001 |
3 | 1002021000002120122221222110200 |
4 | 302232311000031320112321 |
5 | 213221100420330043231 |
6 | 2110312022142232413 |
7 | 64665624601063503 |
oct | 6256650015702671 |
9 | 1067002518858420 |
10 | 223120333440441 |
11 | 65102890545998 |
12 | 21036270285709 |
13 | 97662073958b8 |
14 | 3d151204bad73 |
15 | 1abdd12a36be6 |
hex | caed403785b9 |
223120333440441 has 12 divisors (see below), whose sum is σ = 323622207934740. Its totient is φ = 148129681950720.
The previous prime is 223120333440419. The next prime is 223120333440461. The reversal of 223120333440441 is 144044333021322.
223120333440441 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 203 + 3 + 3 + 4 + 4 + 0 + 441 = 666.
223120333440441 is digitally balanced in base 2 and base 4, because in such bases 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 202700825188416 + 20419508252025 = 14237304^2 + 4518795^2 .
It is not a de Polignac number, because 223120333440441 - 214 = 223120333424057 is a prime.
It is a super-3 number, since 3×2231203334404413 (a number of 44 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223120333440396 and 223120333440405.
It is not an unprimeable number, because it can be changed into a prime (223120333440461) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51433915176 + ... + 51433919513.
It is an arithmetic number, because the mean of its divisors is an integer number (26968517327895).
Almost surely, 2223120333440441 is an apocalyptic number.
It is an amenable number.
223120333440441 is a deficient number, since it is larger than the sum of its proper divisors (100501874494299).
223120333440441 is a wasteful number, since it uses less digits than its factorization.
223120333440441 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 102867834936 (or 102867834933 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 36.
Adding to 223120333440441 its reverse (144044333021322), we get a palindrome (367164666461763).
The spelling of 223120333440441 in words is "two hundred twenty-three trillion, one hundred twenty billion, three hundred thirty-three million, four hundred forty thousand, four hundred forty-one".
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