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385774201 is a prime number
BaseRepresentation
bin10110111111100…
…111001001111001
3222212220100201101
4112333213021321
51242224233301
6102140251401
712363012061
oct2677471171
9885810641
10385774201
1118883995a
12a9240b61
1361c00477
14393403a1
1523d03701
hex16fe7279

385774201 has 2 divisors, whose sum is σ = 385774202. Its totient is φ = 385774200.

The previous prime is 385774189. The next prime is 385774229. The reversal of 385774201 is 102477583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219750976 + 166023225 = 14824^2 + 12885^2 .

It is a cyclic number.

It is not a de Polignac number, because 385774201 - 219 = 385249913 is a prime.

It is not a weakly prime, because it can be changed into another prime (385774231) 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, 192887100 + 192887101.

It is an arithmetic number, because the mean of its divisors is an integer number (192887101).

Almost surely, 2385774201 is an apocalyptic number.

It is an amenable number.

385774201 is a deficient number, since it is larger than the sum of its proper divisors (1).

385774201 is an equidigital number, since it uses as much as digits as its factorization.

385774201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 385774201 is about 19641.1354305193. The cubic root of 385774201 is about 727.9659401456.

It can be divided in two parts, 38577 and 4201, that added together give a triangular number (42778 = T292).

The spelling of 385774201 in words is "three hundred eighty-five million, seven hundred seventy-four thousand, two hundred one".