| Base | Representation |
|---|---|
| bin | 11010100110001… |
| … | …00010100001100 |
| 3 | 120112210202201012 |
| 4 | 31103010110030 |
| 5 | 424103232340 |
| 6 | 34045504352 |
| 7 | 5346223535 |
| oct | 1523042414 |
| 9 | 515722635 |
| 10 | 223102220 |
| 11 | 104a32000 |
| 12 | 628720b8 |
| 13 | 372b5763 |
| 14 | 218b768c |
| 15 | 148be565 |
| hex | d4c450c |
223102220 has 144 divisors (see below), whose sum is σ = 566304480. Its totient is φ = 73722880.
The previous prime is 223102211. The next prime is 223102247. The reversal of 223102220 is 22201322.
It is a super-3 number, since 3×2231022203 (a number of 26 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223102195 and 223102204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7693166 + ... + 7693194.
It is an arithmetic number, because the mean of its divisors is an integer number (3932670).
Almost surely, 2223102220 is an apocalyptic number.
223102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283152240).
223102220 is an abundant number, since it is smaller than the sum of its proper divisors (343202260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223102220 is a wasteful number, since it uses less digits than its factorization.
223102220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 223102220 is about 14936.6067096915. The cubic root of 223102220 is about 606.5053422566.
Adding to 223102220 its reverse (22201322), we get a palindrome (245303542).
It can be divided in two parts, 223102 and 220, that added together give a palindrome (223322).
The spelling of 223102220 in words is "two hundred twenty-three million, one hundred two thousand, two hundred twenty".
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