Base | Representation |
---|---|
bin | 1000100101111010010000 |
3 | 11020102202102 |
4 | 20211322100 |
5 | 1034034212 |
6 | 120135532 |
7 | 25100600 |
oct | 10457220 |
9 | 4212672 |
10 | 2252432 |
11 | 12a9316 |
12 | 9075a8 |
13 | 60b300 |
14 | 428c00 |
15 | 2e75c2 |
hex | 225e90 |
2252432 has 90 divisors (see below), whose sum is σ = 5820498. Its totient is φ = 838656.
The previous prime is 2252407. The next prime is 2252441. The reversal of 2252432 is 2342522.
2252432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 2202256 = 224^2 + 1484^2 .
It is a d-powerful number, because it can be written as 29 + 211 + 53 + 217 + 43 + 313 + 219 .
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132488 + ... + 132504.
22252432 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 2252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910249).
2252432 is an abundant number, since it is smaller than the sum of its proper divisors (3568066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2252432 is a wasteful number, since it uses less digits than its factorization.
2252432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65 (or 39 counting only the distinct ones).
The product of its digits is 960, while the sum is 20.
The square root of 2252432 is about 1500.8104477248. The cubic root of 2252432 is about 131.0842648812.
Adding to 2252432 its reverse (2342522), we get a palindrome (4594954).
The spelling of 2252432 in words is "two million, two hundred fifty-two thousand, four hundred thirty-two".
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