Base | Representation |
---|---|
bin | 1100111111001100000… |
… | …0001000011010001110 |
3 | 210022220122002001200100 |
4 | 3033303000020122032 |
5 | 12123422234330110 |
6 | 250300000511530 |
7 | 22056061443315 |
oct | 3176300103216 |
9 | 708818061610 |
10 | 223120230030 |
11 | 8669660a225 |
12 | 372aa61b5a6 |
13 | 1806a285b69 |
14 | ab2894927c |
15 | 5c0d0d2bc0 |
hex | 33f300868e |
223120230030 has 96 divisors (see below), whose sum is σ = 599521759200. Its totient is φ = 57533736960.
The previous prime is 223120230017. The next prime is 223120230031. The reversal of 223120230030 is 30032021322.
It is a happy number.
223120230030 is a `hidden beast` number, since 22 + 312 + 0 + 2 + 300 + 30 = 666.
223120230030 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231202300303 (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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 223120229985 and 223120230012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223120230031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149421 + ... + 684519.
It is an arithmetic number, because the mean of its divisors is an integer number (6245018325).
Almost surely, 2223120230030 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223120230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299760879600).
223120230030 is an abundant number, since it is smaller than the sum of its proper divisors (376401529170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223120230030 is a wasteful number, since it uses less digits than its factorization.
223120230030 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 535266 (or 535263 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 223120230030 its reverse (30032021322), we get a palindrome (253152251352).
The spelling of 223120230030 in words is "two hundred twenty-three billion, one hundred twenty million, two hundred thirty thousand, thirty".
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