Base | Representation |
---|---|
bin | 1100111111100100100… |
… | …1011110010000110010 |
3 | 210100011211002200220000 |
4 | 3033321021132100302 |
5 | 12124130133422010 |
6 | 250314122530430 |
7 | 22061453046555 |
oct | 3177111362062 |
9 | 710154080800 |
10 | 223223342130 |
11 | 86739836938 |
12 | 37319066a16 |
13 | 18085749039 |
14 | ab3850a69c |
15 | 5c1719e7c0 |
hex | 33f925e432 |
223223342130 has 160 divisors (see below), whose sum is σ = 607867167600. Its totient is φ = 58772003328.
The previous prime is 223223342053. The next prime is 223223342149. The reversal of 223223342130 is 31243322322.
223223342130 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 233 + 421 + 3 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 198815216769 + 24408125361 = 445887^2 + 156231^2 .
It is a super-3 number, since 3×2232233421303 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 223223342094 and 223223342103.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25864656 + ... + 25873284.
Almost surely, 2223223342130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223223342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303933583800).
223223342130 is an abundant number, since it is smaller than the sum of its proper divisors (384643825470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223223342130 is a wasteful number, since it uses less digits than its factorization.
223223342130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9050 (or 9041 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 223223342130 its reverse (31243322322), we get a palindrome (254466664452).
The spelling of 223223342130 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred forty-two thousand, one hundred thirty".
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