Base | Representation |
---|---|
bin | 11010100110001… |
… | …10010110001100 |
3 | 120112211012010100 |
4 | 31103012112030 |
5 | 424104014130 |
6 | 34050011100 |
7 | 5346260022 |
oct | 1523062614 |
9 | 515735110 |
10 | 223110540 |
11 | 104a38284 |
12 | 62876a90 |
13 | 372b9493 |
14 | 218ba712 |
15 | 148c1c60 |
hex | d4c658c |
223110540 has 144 divisors (see below), whose sum is σ = 721375200. Its totient is φ = 55655424.
The previous prime is 223110539. The next prime is 223110553. The reversal of 223110540 is 45011322.
It is a super-3 number, since 3×2231105403 (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 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 47 ways as a sum of consecutive naturals, for example, 304014 + ... + 304746.
It is an arithmetic number, because the mean of its divisors is an integer number (5009550).
Almost surely, 2223110540 is an apocalyptic number.
223110540 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 223110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360687600).
223110540 is an abundant number, since it is smaller than the sum of its proper divisors (498264660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223110540 is a wasteful number, since it uses less digits than its factorization.
223110540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 856 (or 851 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 223110540 is about 14936.8852174742. The cubic root of 223110540 is about 606.5128814939.
Adding to 223110540 its reverse (45011322), we get a palindrome (268121862).
The spelling of 223110540 in words is "two hundred twenty-three million, one hundred ten thousand, five hundred forty".
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