Base | Representation |
---|---|
bin | 110010110000001010010111… |
… | …111110110111010101100010 |
3 | 1002021022212012002011110202220 |
4 | 302300022113332313111202 |
5 | 213224101134023243242 |
6 | 2110422102143251510 |
7 | 65005351306560342 |
oct | 6260122776672542 |
9 | 1067285162143686 |
10 | 223212000212322 |
11 | 6513874aaa4400 |
12 | 2104bb932a9b96 |
13 | 9771a555cc014 |
14 | 3d197388d0d22 |
15 | 1ac13ca3a1bec |
hex | cb0297fb7562 |
223212000212322 has 72 divisors (see below), whose sum is σ = 496987450103088. Its totient is φ = 66783796176240.
The previous prime is 223212000212303. The next prime is 223212000212329.
223212000212322 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×2232120002123223 (a number of 44 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223212000212292 and 223212000212301.
It is not an unprimeable number, because it can be changed into a prime (223212000212329) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20100868 + ... + 29162799.
It is an arithmetic number, because the mean of its divisors is an integer number (6902603473654).
Almost surely, 2223212000212322 is an apocalyptic number.
223212000212322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
223212000212322 is an abundant number, since it is smaller than the sum of its proper divisors (273775449890766).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223212000212322 is a wasteful number, since it uses less digits than its factorization.
223212000212322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49263852 (or 49263762 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
It can be divided in two parts, 223212000 and 212322, that added together give a palindrome (223424322).
The spelling of 223212000212322 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred twelve thousand, three hundred twenty-two".
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