Base | Representation |
---|---|
bin | 11010100110011… |
… | …10100001010100 |
3 | 120112212220001100 |
4 | 31103032201110 |
5 | 424111102040 |
6 | 34050430100 |
7 | 5346456441 |
oct | 1523164124 |
9 | 515786040 |
10 | 223144020 |
11 | 104a60450 |
12 | 62892330 |
13 | 372cb7a8 |
14 | 218c89c8 |
15 | 148cbb30 |
hex | d4ce854 |
223144020 has 144 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 53760000.
The previous prime is 223144013. The next prime is 223144021. The reversal of 223144020 is 20441322.
223144020 is a `hidden beast` number, since 223 + 1 + 440 + 2 + 0 = 666.
223144020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231440203 (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 = 223143984 and 223144002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223144021) 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 47 ways as a sum of consecutive naturals, for example, 496756 + ... + 497204.
It is an arithmetic number, because the mean of its divisors is an integer number (5159700).
Almost surely, 2223144020 is an apocalyptic number.
223144020 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 223144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).
223144020 is an abundant number, since it is smaller than the sum of its proper divisors (519852780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223144020 is a wasteful number, since it uses less digits than its factorization.
223144020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 726 (or 721 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223144020 is about 14938.0058910150. The cubic root of 223144020 is about 606.5432177802.
Adding to 223144020 its reverse (20441322), we get a palindrome (243585342).
The spelling of 223144020 in words is "two hundred twenty-three million, one hundred forty-four thousand, twenty".
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