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2242144301 is a prime number
BaseRepresentation
bin1000010110100100…
…0110100000101101
312210020222201202112
42011221012200231
514042442104201
61010252533405
7106363624565
oct20551064055
95706881675
102242144301
11a506a5221
12526a81265
13299699207
14173acbda5
15d1c940bb
hex85a4682d

2242144301 has 2 divisors, whose sum is σ = 2242144302. Its totient is φ = 2242144300.

The previous prime is 2242144291. The next prime is 2242144379. The reversal of 2242144301 is 1034412422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2242022500 + 121801 = 47350^2 + 349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242144301 is a prime.

It is a super-2 number, since 2×22421443012 = 10054422133013557202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242144601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121072150 + 1121072151.

It is an arithmetic number, because the mean of its divisors is an integer number (1121072151).

Almost surely, 22242144301 is an apocalyptic number.

It is an amenable number.

2242144301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242144301 is an equidigital number, since it uses as much as digits as its factorization.

2242144301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2242144301 is about 47351.2861599345. The cubic root of 2242144301 is about 1308.8438998961.

Adding to 2242144301 its reverse (1034412422), we get a palindrome (3276556723).

The spelling of 2242144301 in words is "two billion, two hundred forty-two million, one hundred forty-four thousand, three hundred one".