Base | Representation |
---|---|
bin | 110010110000100111010110… |
… | …111100100011101101100010 |
3 | 1002021102211111222001201202200 |
4 | 302300213112330203231202 |
5 | 213230103403030441310 |
6 | 2110444250225154030 |
7 | 65010532442041614 |
oct | 6260472674435542 |
9 | 1067384458051680 |
10 | 223243121343330 |
11 | 6514a970075790 |
12 | 2105601978b916 |
13 | 9774975032c3a |
14 | 3d1b04bbb8db4 |
15 | 1ac20ec6379c0 |
hex | cb09d6f23b62 |
223243121343330 has 192 divisors, whose sum is σ = 640785833625600. Its totient is φ = 53474872665600.
The previous prime is 223243121343317. The next prime is 223243121343337. The reversal of 223243121343330 is 33343121342322.
223243121343330 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 4 + 3 + 1 + 213 + 433 + 3 + 0 = 666.
It is a super-3 number, since 3×2232431213433303 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (223243121343337) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24212604 + ... + 32136216.
It is an arithmetic number, because the mean of its divisors is an integer number (3337426216800).
Almost surely, 2223243121343330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223243121343330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320392916812800).
223243121343330 is an abundant number, since it is smaller than the sum of its proper divisors (417542712282270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223243121343330 is a wasteful number, since it uses less digits than its factorization.
223243121343330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7923977 (or 7923974 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 36.
Adding to 223243121343330 its reverse (33343121342322), we get a palindrome (256586242685652).
The spelling of 223243121343330 in words is "two hundred twenty-three trillion, two hundred forty-three billion, one hundred twenty-one million, three hundred forty-three thousand, three hundred thirty".
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