Base | Representation |
---|---|
bin | 11110000100001… |
… | …10110000101101 |
3 | 122120120121101022 |
4 | 33002012300231 |
5 | 1004031211341 |
6 | 41005423525 |
7 | 6151515524 |
oct | 1702066055 |
9 | 576517338 |
10 | 252210221 |
11 | 11a4032aa |
12 | 7056aba5 |
13 | 40337723 |
14 | 256d34bb |
15 | 1721de4b |
hex | f086c2d |
252210221 has 2 divisors, whose sum is σ = 252210222. Its totient is φ = 252210220.
The previous prime is 252210197. The next prime is 252210223. The reversal of 252210221 is 122012252.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 240684196 + 11526025 = 15514^2 + 3395^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-252210221 is a prime.
It is a super-3 number, since 3×2522102213 (a number of 26 digits) contains 333 as substring.
Together with 252210223, it forms a pair of twin primes.
It is a Chen prime.
It is a self number, because there is not a number n which added to its sum of digits gives 252210221.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (252210223) by changing a digit.
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 as a sum of consecutive naturals, namely, 126105110 + 126105111.
It is an arithmetic number, because the mean of its divisors is an integer number (126105111).
Almost surely, 2252210221 is an apocalyptic number.
It is an amenable number.
252210221 is a deficient number, since it is larger than the sum of its proper divisors (1).
252210221 is an equidigital number, since it uses as much as digits as its factorization.
252210221 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 252210221 is about 15881.1278251892. The cubic root of 252210221 is about 631.8115500265.
Adding to 252210221 its reverse (122012252), we get a palindrome (374222473).
The spelling of 252210221 in words is "two hundred fifty-two million, two hundred ten thousand, two hundred twenty-one".
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