| Base | Representation |
|---|---|
| bin | 11010100110011… |
| … | …01101001000100 |
| 3 | 120112212201010000 |
| 4 | 31103031221010 |
| 5 | 424110443140 |
| 6 | 34050401300 |
| 7 | 5346443106 |
| oct | 1523155104 |
| 9 | 515781100 |
| 10 | 223140420 |
| 11 | 104a58778 |
| 12 | 62890230 |
| 13 | 372c9c69 |
| 14 | 218c7576 |
| 15 | 148caa30 |
| hex | d4cda44 |
223140420 has 120 divisors (see below), whose sum is σ = 704792088. Its totient is φ = 59097600.
The previous prime is 223140391. The next prime is 223140431. The reversal of 223140420 is 24041322.
It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 191600964 = 5616^2 + 13842^2 .
It is a super-3 number, since 3×2231404203 (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 junction number, because it is equal to n+sod(n) for n = 223140393 and 223140402.
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 39 ways as a sum of consecutive naturals, for example, 292840 + ... + 293600.
Almost surely, 2223140420 is an apocalyptic number.
223140420 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 223140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352396044).
223140420 is an abundant number, since it is smaller than the sum of its proper divisors (481651668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223140420 is a wasteful number, since it uses less digits than its factorization.
223140420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 963 (or 952 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223140420 is about 14937.8853925179. The cubic root of 223140420 is about 606.5399559595.
Adding to 223140420 its reverse (24041322), we get a palindrome (247181742).
The spelling of 223140420 in words is "two hundred twenty-three million, one hundred forty thousand, four hundred twenty".
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