Base | Representation |
---|---|
bin | 1100111111001010000… |
… | …0101111001100110110 |
3 | 210022220001120221121220 |
4 | 3033302200233030312 |
5 | 12123413133002220 |
6 | 250255104251210 |
7 | 22055631466053 |
oct | 3176240571466 |
9 | 708801527556 |
10 | 223112000310 |
11 | 866919a9101 |
12 | 372a7910b06 |
13 | 18068663cc4 |
14 | ab2780602a |
15 | 5c0c509540 |
hex | 33f282f336 |
223112000310 has 64 divisors (see below), whose sum is σ = 549106449408. Its totient is φ = 57987224064.
The previous prime is 223112000297. The next prime is 223112000317. The reversal of 223112000310 is 13000211322.
It is a super-3 number, since 3×2231120003103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 223112000310.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223112000317) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410494 + ... + 784046.
It is an arithmetic number, because the mean of its divisors is an integer number (8579788272).
Almost surely, 2223112000310 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223112000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274553224704).
223112000310 is an abundant number, since it is smaller than the sum of its proper divisors (325994449098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223112000310 is a wasteful number, since it uses less digits than its factorization.
223112000310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 374069.
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 223112000310 its reverse (13000211322), we get a palindrome (236112211632).
The spelling of 223112000310 in words is "two hundred twenty-three billion, one hundred twelve million, three hundred ten", and thus it is an aban number.
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