Base | Representation |
---|---|
bin | 10011000010101100… |
… | …00011111000000000 |
3 | 222101110120200012020 |
4 | 21201112003320000 |
5 | 131414103420314 |
6 | 4410232401440 |
7 | 511223660244 |
oct | 114126037000 |
9 | 28343520166 |
10 | 10223107584 |
11 | 4376750048 |
12 | 1b93846280 |
13 | c6bca54b1 |
14 | 6cda3c424 |
15 | 3ec77dda9 |
hex | 261583e00 |
10223107584 has 160 divisors (see below), whose sum is σ = 28773110784. Its totient is φ = 3220439040.
The previous prime is 10223107577. The next prime is 10223107589. The reversal of 10223107584 is 48570132201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10223107589) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044992 + ... + 2049984.
Almost surely, 210223107584 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 10223107584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386555392).
10223107584 is an abundant number, since it is smaller than the sum of its proper divisors (18550003200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10223107584 is an equidigital number, since it uses as much as digits as its factorization.
10223107584 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5088 (or 5072 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 33.
Adding to 10223107584 its reverse (48570132201), we get a palindrome (58793239785).
The spelling of 10223107584 in words is "ten billion, two hundred twenty-three million, one hundred seven thousand, five hundred eighty-four".
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