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2242306369 is a prime number
BaseRepresentation
bin1000010110100110…
…1110000101000001
312210021021222002001
42011221232011001
514043012300434
61010300224001
7106365201232
oct20551560501
95707258061
102242306369
11a507a5a66
12526b3b001
13299724c04
14173b31089
15d1cc7114
hex85a6e141

2242306369 has 2 divisors, whose sum is σ = 2242306370. Its totient is φ = 2242306368.

The previous prime is 2242306349. The next prime is 2242306393. The reversal of 2242306369 is 9636032422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1752259600 + 490046769 = 41860^2 + 22137^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242306369 - 215 = 2242273601 is a prime.

It is a super-2 number, since 2×22423063692 = 10055875704915928322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2242306349) 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, 1121153184 + 1121153185.

It is an arithmetic number, because the mean of its divisors is an integer number (1121153185).

Almost surely, 22242306369 is an apocalyptic number.

It is an amenable number.

2242306369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242306369 is an equidigital number, since it uses as much as digits as its factorization.

2242306369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 2242306369 is about 47352.9974658416. The cubic root of 2242306369 is about 1308.8754346792.

The spelling of 2242306369 in words is "two billion, two hundred forty-two million, three hundred six thousand, three hundred sixty-nine".