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385142237 is a prime number
BaseRepresentation
bin10110111101001…
…100110111011101
3222211201020211022
4112331030313131
51242044022422
6102114533525
712354440444
oct2675146735
9884636738
10385142237
11188448077
12a8b972a5
1361a3b91c
1439217d5b
1523c2b342
hex16f4cddd

385142237 has 2 divisors, whose sum is σ = 385142238. Its totient is φ = 385142236.

The previous prime is 385142183. The next prime is 385142239. The reversal of 385142237 is 732241583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274598041 + 110544196 = 16571^2 + 10514^2 .

It is an emirp because it is prime and its reverse (732241583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385142237 - 224 = 368365021 is a prime.

Together with 385142239, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 385142197 and 385142206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385142239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192571118 + 192571119.

It is an arithmetic number, because the mean of its divisors is an integer number (192571119).

Almost surely, 2385142237 is an apocalyptic number.

It is an amenable number.

385142237 is a deficient number, since it is larger than the sum of its proper divisors (1).

385142237 is an equidigital number, since it uses as much as digits as its factorization.

385142237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 35.

The square root of 385142237 is about 19625.0410700207. The cubic root of 385142237 is about 727.5682120553.

The spelling of 385142237 in words is "three hundred eighty-five million, one hundred forty-two thousand, two hundred thirty-seven".