Base | Representation |
---|---|
bin | 10011010010000101… |
… | …00011100100000000 |
3 | 222201110111212110120 |
4 | 21221002203210000 |
5 | 132200131242344 |
6 | 4431123500240 |
7 | 514352231514 |
oct | 115102434400 |
9 | 28643455416 |
10 | 10352212224 |
11 | 44326102a2 |
12 | 200ab27680 |
13 | c8c969583 |
14 | 702c48144 |
15 | 408c82219 |
hex | 2690a3900 |
10352212224 has 72 divisors (see below), whose sum is σ = 27696625152. Its totient is φ = 3432622080.
The previous prime is 10352212223. The next prime is 10352212231. The reversal of 10352212224 is 42221225301.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 10352212194 and 10352212203.
It is not an unprimeable number, because it can be changed into a prime (10352212223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111402 + ... + 181974.
Almost surely, 210352212224 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 10352212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848312576).
10352212224 is an abundant number, since it is smaller than the sum of its proper divisors (17344412928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10352212224 is an equidigital number, since it uses as much as digits as its factorization.
10352212224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70783 (or 70769 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
Adding to 10352212224 its reverse (42221225301), we get a palindrome (52573437525).
The spelling of 10352212224 in words is "ten billion, three hundred fifty-two million, two hundred twelve thousand, two hundred twenty-four".
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