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2242500097 is a prime number
BaseRepresentation
bin1000010110101001…
…1101011000000001
312210021122210211011
42011222131120001
514043040000342
61010304320521
7106366636105
oct20552353001
95707583734
102242500097
11a50918572
12527013141
13299792146
14173b81905
15d1d14717
hex85a9d601

2242500097 has 2 divisors, whose sum is σ = 2242500098. Its totient is φ = 2242500096.

The previous prime is 2242500079. The next prime is 2242500109. The reversal of 2242500097 is 7900052422.

Together with previous prime (2242500079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1796403456 + 446096641 = 42384^2 + 21121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242500097 - 27 = 2242499969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2242500037) 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, 1121250048 + 1121250049.

It is an arithmetic number, because the mean of its divisors is an integer number (1121250049).

Almost surely, 22242500097 is an apocalyptic number.

It is an amenable number.

2242500097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242500097 is an equidigital number, since it uses as much as digits as its factorization.

2242500097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2242500097 is about 47355.0429943845. The cubic root of 2242500097 is about 1308.9131277916.

The spelling of 2242500097 in words is "two billion, two hundred forty-two million, five hundred thousand, ninety-seven".