Base | Representation |
---|---|
bin | 1100111111100010001… |
… | …1001101100101000010 |
3 | 210100011010020010120122 |
4 | 3033320203031211002 |
5 | 12124120101443242 |
6 | 250313123540242 |
7 | 22061301564260 |
oct | 3177043154502 |
9 | 710133203518 |
10 | 223213312322 |
11 | 86734106340 |
12 | 3731582a682 |
13 | 18083646a40 |
14 | ab37059430 |
15 | 5c1636cad2 |
hex | 33f88cd942 |
223213312322 has 64 divisors (see below), whose sum is σ = 449633818368. Its totient is φ = 80261280000.
The previous prime is 223213312321. The next prime is 223213312339.
223213312322 is nontrivially palindromic in base 10.
223213312322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2232133123223 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 223213312291 and 223213312300.
It is not an unprimeable number, because it can be changed into a prime (223213312321) 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 31 ways as a sum of consecutive naturals, for example, 19816172 + ... + 19827432.
It is an arithmetic number, because the mean of its divisors is an integer number (7025528412).
Almost surely, 2223213312322 is an apocalyptic number.
223213312322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
223213312322 is an abundant number, since it is smaller than the sum of its proper divisors (226420506046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213312322 is a wasteful number, since it uses less digits than its factorization.
223213312322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21195.
The product of its digits is 5184, while the sum is 26.
It can be divided in two parts, 223213 and 312322, that added together give a palindrome (535535).
The spelling of 223213312322 in words is "two hundred twenty-three billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty-two".
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