| Base | Representation |
|---|---|
| bin | 11010100111001… |
| … | …00000011011100 |
| 3 | 120120001101001000 |
| 4 | 31103210003130 |
| 5 | 424121412340 |
| 6 | 34052350300 |
| 7 | 5350304541 |
| oct | 1523440334 |
| 9 | 516041030 |
| 10 | 223232220 |
| 11 | 105010742 |
| 12 | 62915390 |
| 13 | 3732c993 |
| 14 | 2190cbc8 |
| 15 | 148e7d30 |
| hex | d4e40dc |
223232220 has 96 divisors (see below), whose sum is σ = 701547840. Its totient is φ = 58924800.
The previous prime is 223232213. The next prime is 223232231. The reversal of 223232220 is 22232322.
It is a super-3 number, since 3×2232322203 (a number of 26 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 = 223232193 and 223232202.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52494 + ... + 56586.
It is an arithmetic number, because the mean of its divisors is an integer number (7307790).
Almost surely, 2223232220 is an apocalyptic number.
223232220 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 223232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350773920).
223232220 is an abundant number, since it is smaller than the sum of its proper divisors (478315620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223232220 is a wasteful number, since it uses less digits than its factorization.
223232220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4212 (or 4204 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 223232220 is about 14940.9578006231. The cubic root of 223232220 is about 606.6231214300.
Adding to 223232220 its reverse (22232322), we get a palindrome (245464542).
The spelling of 223232220 in words is "two hundred twenty-three million, two hundred thirty-two thousand, two hundred twenty".
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