Base | Representation |
---|---|
bin | 1111100001110… |
… | …1011011000000 |
3 | 11112120001121121 |
4 | 3320131123000 |
5 | 113133212344 |
6 | 10244002024 |
7 | 1420420603 |
oct | 370353300 |
9 | 145501547 |
10 | 65132224 |
11 | 33846893 |
12 | 19990314 |
13 | 10655ca1 |
14 | 891633a |
15 | 5ab8684 |
hex | 3e1d6c0 |
65132224 has 56 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 31247616.
The previous prime is 65132131. The next prime is 65132233. The reversal of 65132224 is 42223156.
65132224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 7 ways as a sum of consecutive naturals, for example, 177289 + ... + 177655.
Almost surely, 265132224 is an apocalyptic number.
65132224 is a gapful number since it is divisible by the number (64) 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 65132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).
65132224 is an abundant number, since it is smaller than the sum of its proper divisors (69467456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65132224 is a wasteful number, since it uses less digits than its factorization.
65132224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 485 (or 475 counting only the distinct ones).
The product of its digits is 2880, while the sum is 25.
The square root of 65132224 is about 8070.4537666726. The cubic root of 65132224 is about 402.3450252752.
It can be divided in two parts, 65132 and 224, that added together give a palindrome (65356).
The spelling of 65132224 in words is "sixty-five million, one hundred thirty-two thousand, two hundred twenty-four".
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