Base | Representation |
---|---|
bin | 11110000100010… |
… | …00011111110100 |
3 | 122120120222010200 |
4 | 33002020133310 |
5 | 1004031423312 |
6 | 41005520500 |
7 | 6151545333 |
oct | 1702103764 |
9 | 576528120 |
10 | 252217332 |
11 | 11a408684 |
12 | 70573130 |
13 | 4033aa33 |
14 | 256d5d1a |
15 | 172210dc |
hex | f0887f4 |
252217332 has 36 divisors (see below), whose sum is σ = 638585220. Its totient is φ = 83935872.
The previous prime is 252217331. The next prime is 252217349. The reversal of 252217332 is 233712252.
It is a happy number.
252217332 is digitally balanced in base 2, 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 123076836 + 129140496 = 11094^2 + 11364^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×2522173323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 252217296 and 252217305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (252217331) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18144 + ... + 28872.
Almost surely, 2252217332 is an apocalyptic number.
It is an amenable number.
252217332 is an abundant number, since it is smaller than the sum of its proper divisors (386367888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252217332 is a wasteful number, since it uses less digits than its factorization.
252217332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11392 (or 11387 counting only the distinct ones).
The product of its digits is 5040, while the sum is 27.
The square root of 252217332 is about 15881.3517056956. The cubic root of 252217332 is about 631.8174878901.
Adding to 252217332 its reverse (233712252), we get a palindrome (485929584).
The spelling of 252217332 in words is "two hundred fifty-two million, two hundred seventeen thousand, three hundred thirty-two".
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