Base | Representation |
---|---|
bin | 11010100111000… |
… | …01110111000000 |
3 | 120120000220201010 |
4 | 31103201313000 |
5 | 424121120412 |
6 | 34052240520 |
7 | 5350236411 |
oct | 1523416700 |
9 | 516026633 |
10 | 223223232 |
11 | 105004a11 |
12 | 62910140 |
13 | 3732886b |
14 | 21909808 |
15 | 148e533c |
hex | d4e1dc0 |
223223232 has 28 divisors (see below), whose sum is σ = 590611976. Its totient is φ = 74407680.
The previous prime is 223223213. The next prime is 223223239. The reversal of 223223232 is 232322322.
It is a super-3 number, since 3×2232232323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 223223199 and 223223208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223223239) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 581119 + ... + 581502.
Almost surely, 2223223232 is an apocalyptic number.
It is an amenable number.
223223232 is an abundant number, since it is smaller than the sum of its proper divisors (367388744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223223232 is a wasteful number, since it uses less digits than its factorization.
223223232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1162636 (or 1162626 counting only the distinct ones).
The product of its digits is 1728, while the sum is 21.
The square root of 223223232 is about 14940.6570136658. The cubic root of 223223232 is about 606.6149798308.
Adding to 223223232 its reverse (232322322), we get a palindrome (455545554).
The spelling of 223223232 in words is "two hundred twenty-three million, two hundred twenty-three thousand, two hundred thirty-two".
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