Base | Representation |
---|---|
bin | 11000010000010111… |
… | …11000001010001001 |
3 | 1020121112121222201021 |
4 | 30020023320022021 |
5 | 203132142430400 |
6 | 5552103352441 |
7 | 640463104351 |
oct | 141013701211 |
9 | 36545558637 |
10 | 13022233225 |
11 | 5582790621 |
12 | 2635152721 |
13 | 12c6b87761 |
14 | 8b76b5b61 |
15 | 51339471a |
hex | 3082f8289 |
13022233225 has 27 divisors (see below), whose sum is σ = 16744859157. Its totient is φ = 10045771680.
The previous prime is 13022233207. The next prime is 13022233253. The reversal of 13022233225 is 52233222031.
The square root of 13022233225 is 114115.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 178997641 + 12843235584 = 13379^2 + 113328^2 .
It is not a de Polignac number, because 13022233225 - 211 = 13022231177 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 13022233225.
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 26 ways as a sum of consecutive naturals, for example, 16546282 + ... + 16547068.
Almost surely, 213022233225 is an apocalyptic number.
13022233225 is the 114115-th square number.
13022233225 is the 57058-th centered octagonal number.
It is an amenable number.
13022233225 is a deficient number, since it is larger than the sum of its proper divisors (3722625932).
13022233225 is an frugal number, since it uses more digits than its factorization.
13022233225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1642 (or 821 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 25.
Multiplying 13022233225 by its sum of digits (25), we get a square (325555830625 = 5705752).
13022233225 divided by its sum of digits (25) gives a square (520889329 = 228232).
Adding to 13022233225 its reverse (52233222031), we get a palindrome (65255455256).
The spelling of 13022233225 in words is "thirteen billion, twenty-two million, two hundred thirty-three thousand, two hundred twenty-five".
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