Base | Representation |
---|---|
bin | 11010100110010… |
… | …11001000001000 |
3 | 120112212011222112 |
4 | 31103023020020 |
5 | 424110130440 |
6 | 34050241452 |
7 | 5346401063 |
oct | 1523131010 |
9 | 515764875 |
10 | 223130120 |
11 | 104a50a64 |
12 | 62886288 |
13 | 372c5375 |
14 | 218c38da |
15 | 148c7965 |
hex | d4cb208 |
223130120 has 64 divisors (see below), whose sum is σ = 511758000. Its totient is φ = 87543808.
The previous prime is 223130111. The next prime is 223130213. The reversal of 223130120 is 21031322.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 3556996 + 219573124 = 1886^2 + 14818^2 .
It is a super-3 number, since 3×2231301203 (a number of 26 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223130095 and 223130104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829346 + ... + 829614.
Almost surely, 2223130120 is an apocalyptic number.
223130120 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 223130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255879000).
223130120 is an abundant number, since it is smaller than the sum of its proper divisors (288627880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223130120 is a wasteful number, since it uses less digits than its factorization.
223130120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 602 (or 598 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 223130120 is about 14937.5406275598. The cubic root of 223130120 is about 606.5306233344.
Adding to 223130120 its reverse (21031322), we get a palindrome (244161442).
The spelling of 223130120 in words is "two hundred twenty-three million, one hundred thirty thousand, one hundred twenty".
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