Base | Representation |
---|---|
bin | 11010101110000… |
… | …01111011011110 |
3 | 120121202112200100 |
4 | 31113001323132 |
5 | 424340003042 |
6 | 34124041530 |
7 | 5361111240 |
oct | 1527017336 |
9 | 517675610 |
10 | 224141022 |
11 | 105581516 |
12 | 630932a6 |
13 | 3758a531 |
14 | 21aa8090 |
15 | 14a2724c |
hex | d5c1ede |
224141022 has 96 divisors (see below), whose sum is σ = 591364800. Its totient is φ = 59894784.
The previous prime is 224141017. The next prime is 224141033. The reversal of 224141022 is 220141422.
224141022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 224140986 and 224141004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576004 + ... + 576392.
It is an arithmetic number, because the mean of its divisors is an integer number (6160050).
Almost surely, 2224141022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 224141022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295682400).
224141022 is an abundant number, since it is smaller than the sum of its proper divisors (367223778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224141022 is a wasteful number, since it uses less digits than its factorization.
224141022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 690 (or 687 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 224141022 is about 14971.3400201852. The cubic root of 224141022 is about 607.4452158086.
Adding to 224141022 its reverse (220141422), we get a palindrome (444282444).
It can be divided in two parts, 22414 and 1022, that added together give a triangular number (23436 = T216).
The spelling of 224141022 in words is "two hundred twenty-four million, one hundred forty-one thousand, twenty-two".
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