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442204193 is a prime number
BaseRepresentation
bin11010010110111…
…000000000100001
31010211002022010002
4122112320000201
51401201013233
6111513545345
713646450024
oct3226700041
91124068102
10442204193
11207681612
12104115255
13707ca4b2
1442a2d1bb
1528c4d6e8
hex1a5b8021

442204193 has 2 divisors, whose sum is σ = 442204194. Its totient is φ = 442204192.

The previous prime is 442204129. The next prime is 442204201. The reversal of 442204193 is 391402244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 426339904 + 15864289 = 20648^2 + 3983^2 .

It is a cyclic number.

It is not a de Polignac number, because 442204193 - 26 = 442204129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (442200193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221102096 + 221102097.

It is an arithmetic number, because the mean of its divisors is an integer number (221102097).

Almost surely, 2442204193 is an apocalyptic number.

It is an amenable number.

442204193 is a deficient number, since it is larger than the sum of its proper divisors (1).

442204193 is an equidigital number, since it uses as much as digits as its factorization.

442204193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 442204193 is about 21028.6517161705. The cubic root of 442204193 is about 761.8584440700.

The spelling of 442204193 in words is "four hundred forty-two million, two hundred four thousand, one hundred ninety-three".