Base | Representation |
---|---|
bin | 1000100101100101000000 |
3 | 11020100220001 |
4 | 20211211000 |
5 | 1034013242 |
6 | 120125344 |
7 | 25063615 |
oct | 10454500 |
9 | 4210801 |
10 | 2251072 |
11 | 12a829a |
12 | 906854 |
13 | 60a7c5 |
14 | 42850c |
15 | 2e6eb7 |
hex | 225940 |
2251072 has 28 divisors (see below), whose sum is σ = 4732020. Its totient is φ = 1058816.
The previous prime is 2251061. The next prime is 2251099. The reversal of 2251072 is 2701522.
2251072 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 2 ways, for example, as 1032256 + 1218816 = 1016^2 + 1104^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 2122.
22251072 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 2251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366010).
2251072 is an abundant number, since it is smaller than the sum of its proper divisors (2480948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251072 is a wasteful number, since it uses less digits than its factorization.
2251072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2098 (or 2088 counting only the distinct ones).
The product of its (nonzero) digits is 280, while the sum is 19.
The square root of 2251072 is about 1500.3572907811. The cubic root of 2251072 is about 131.0578770342.
Adding to 2251072 its reverse (2701522), we get a palindrome (4952594).
The spelling of 2251072 in words is "two million, two hundred fifty-one thousand, seventy-two".
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