Base | Representation |
---|---|
bin | 100110101001… |
… | …101100000000 |
3 | 201001202210120 |
4 | 212221230000 |
5 | 10043212344 |
6 | 1001100240 |
7 | 152060004 |
oct | 46515400 |
9 | 21052716 |
10 | 10132224 |
11 | 57a0543 |
12 | 3487680 |
13 | 2139acb |
14 | 14ba704 |
15 | d52219 |
hex | 9a9b00 |
10132224 has 72 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 3314688.
The previous prime is 10132217. The next prime is 10132229. The reversal of 10132224 is 42223101.
It is not an unprimeable number, because it can be changed into a prime (10132229) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60589 + ... + 60755.
Almost surely, 210132224 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 10132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735680).
10132224 is an abundant number, since it is smaller than the sum of its proper divisors (17339136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132224 is an equidigital number, since it uses as much as digits as its factorization.
10132224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 265 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 10132224 is about 3183.1154550220. The cubic root of 10132224 is about 216.3888742325.
Adding to 10132224 its reverse (42223101), we get a palindrome (52355325).
The spelling of 10132224 in words is "ten million, one hundred thirty-two thousand, two hundred twenty-four".
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