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2252126329 is a prime number
BaseRepresentation
bin1000011000111100…
…1011100001111001
312210221202212112021
42012033023201321
514103021020304
61011250514441
7106544520655
oct20617134171
95727685467
102252126329
11a562a2932
1252a295a21
1329b78283b
14175169a65
15d2ab6a54
hex863cb879

2252126329 has 2 divisors, whose sum is σ = 2252126330. Its totient is φ = 2252126328.

The previous prime is 2252126321. The next prime is 2252126363. The reversal of 2252126329 is 9236212522.

2252126329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2252126363) can be obtained adding 2252126329 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2251028025 + 1098304 = 47445^2 + 1048^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252126329 - 23 = 2252126321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252126294 and 2252126303.

It is not a weakly prime, because it can be changed into another prime (2252126321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126063164 + 1126063165.

It is an arithmetic number, because the mean of its divisors is an integer number (1126063165).

Almost surely, 22252126329 is an apocalyptic number.

It is an amenable number.

2252126329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252126329 is an equidigital number, since it uses as much as digits as its factorization.

2252126329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 34.

The square root of 2252126329 is about 47456.5730852956. The cubic root of 2252126329 is about 1310.7833492473.

The spelling of 2252126329 in words is "two billion, two hundred fifty-two million, one hundred twenty-six thousand, three hundred twenty-nine".