Search a number
-
+
442123237 is a prime number
BaseRepresentation
bin11010010110100…
…100001111100101
31010210221012001201
4122112210033211
51401140420422
6111512122501
713645662013
oct3226441745
91123835051
10442123237
11207626806
12104096431
137079c6aa
1442a0b8b3
1528c34727
hex1a5a43e5

442123237 has 2 divisors, whose sum is σ = 442123238. Its totient is φ = 442123236.

The previous prime is 442123223. The next prime is 442123243. The reversal of 442123237 is 732321244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 430604001 + 11519236 = 20751^2 + 3394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442123237 is a prime.

It is equal to p23457430 and since 442123237 and 23457430 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442123207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221061618 + 221061619.

It is an arithmetic number, because the mean of its divisors is an integer number (221061619).

Almost surely, 2442123237 is an apocalyptic number.

It is an amenable number.

442123237 is a deficient number, since it is larger than the sum of its proper divisors (1).

442123237 is an equidigital number, since it uses as much as digits as its factorization.

442123237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 28.

The square root of 442123237 is about 21026.7267305208. The cubic root of 442123237 is about 761.8119491269.

The spelling of 442123237 in words is "four hundred forty-two million, one hundred twenty-three thousand, two hundred thirty-seven".