Base | Representation |
---|---|
bin | 11010100111001… |
… | …10011110000000 |
3 | 120120001212121101 |
4 | 31103212132000 |
5 | 424122221422 |
6 | 34052504144 |
7 | 5350345432 |
oct | 1523463600 |
9 | 516055541 |
10 | 223242112 |
11 | 105018115 |
12 | 6291b054 |
13 | 37334332 |
14 | 21912652 |
15 | 148eac27 |
hex | d4e6780 |
223242112 has 32 divisors (see below), whose sum is σ = 450119880. Its totient is φ = 110270976.
The previous prime is 223242109. The next prime is 223242119. The reversal of 223242112 is 211242322.
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-3 number, since 3×2232421123 (a number of 26 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 223242112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223242119) 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, 118 + ... + 21130.
Almost surely, 2223242112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225059940).
223242112 is an abundant number, since it is smaller than the sum of its proper divisors (226877768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223242112 is an equidigital number, since it uses as much as digits as its factorization.
223242112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21110 (or 21098 counting only the distinct ones).
The product of its digits is 384, while the sum is 19.
The square root of 223242112 is about 14941.2888332968. The cubic root of 223242112 is about 606.6320816469.
Adding to 223242112 its reverse (211242322), we get a palindrome (434484434).
It can be divided in two parts, 2232 and 42112, that added together give a palindrome (44344).
The spelling of 223242112 in words is "two hundred twenty-three million, two hundred forty-two thousand, one hundred twelve".
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