Base | Representation |
---|---|
bin | 1100111111110111000… |
… | …1101110000000000100 |
3 | 210100101020020012010121 |
4 | 3033331301232000010 |
5 | 12124310024014340 |
6 | 250325535231324 |
7 | 22063415123113 |
oct | 3177561560004 |
9 | 710336205117 |
10 | 223301001220 |
11 | 86779659300 |
12 | 3733b078544 |
13 | 18098869a6b |
14 | ab44963c7a |
15 | 5c1ddde94a |
hex | 33fdc6e004 |
223301001220 has 144 divisors (see below), whose sum is σ = 529005818880. Its totient is φ = 79074293760.
The previous prime is 223301001199. The next prime is 223301001223. The reversal of 223301001220 is 22100103322.
223301001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 223301001194 and 223301001203.
It is not an unprimeable number, because it can be changed into a prime (223301001223) 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 47 ways as a sum of consecutive naturals, for example, 36730141 + ... + 36736219.
It is an arithmetic number, because the mean of its divisors is an integer number (3673651520).
Almost surely, 2223301001220 is an apocalyptic number.
223301001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223301001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264502909440).
223301001220 is an abundant number, since it is smaller than the sum of its proper divisors (305704817660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223301001220 is a wasteful number, since it uses less digits than its factorization.
223301001220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6506 (or 6493 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 223301001220 its reverse (22100103322), we get a palindrome (245401104542).
The spelling of 223301001220 in words is "two hundred twenty-three billion, three hundred one million, one thousand, two hundred twenty".
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