Base | Representation |
---|---|
bin | 11010100111000… |
… | …01100101101010 |
3 | 120120000212012000 |
4 | 31103201211222 |
5 | 424121101442 |
6 | 34052231430 |
7 | 5350233234 |
oct | 1523414552 |
9 | 516025160 |
10 | 223222122 |
11 | 1050040a2 |
12 | 6290b576 |
13 | 373281c6 |
14 | 21909254 |
15 | 148e4d4c |
hex | d4e196a |
223222122 has 32 divisors (see below), whose sum is σ = 508152960. Its totient is φ = 72591840.
The previous prime is 223222099. The next prime is 223222133. The reversal of 223222122 is 221222322.
223222122 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 3×2232221223 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 223222095 and 223222104.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48198 + ... + 52625.
It is an arithmetic number, because the mean of its divisors is an integer number (15879780).
Almost surely, 2223222122 is an apocalyptic number.
223222122 is an abundant number, since it is smaller than the sum of its proper divisors (284930838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223222122 is a wasteful number, since it uses less digits than its factorization.
223222122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100875 (or 100869 counting only the distinct ones).
The product of its digits is 384, while the sum is 18.
The square root of 223222122 is about 14940.6198666588. The cubic root of 223222122 is about 606.6139743445.
Adding to 223222122 its reverse (221222322), we get a palindrome (444444444).
The spelling of 223222122 in words is "two hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-two".
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