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2225409817 is a prime number
BaseRepresentation
bin1000010010100101…
…0000111100011001
312202002111112100211
42010221100330121
514024201103232
61004454131121
7106101446161
oct20451207431
95662445324
102225409817
11a42205374
12521350aa1
1329608a257
141717b35a1
15d058aa47
hex84a50f19

2225409817 has 2 divisors, whose sum is σ = 2225409818. Its totient is φ = 2225409816.

The previous prime is 2225409737. The next prime is 2225409821. The reversal of 2225409817 is 7189045222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1741893696 + 483516121 = 41736^2 + 21989^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2225409817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225409817.

It is not a weakly prime, because it can be changed into another prime (2225409847) 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, 1112704908 + 1112704909.

It is an arithmetic number, because the mean of its divisors is an integer number (1112704909).

Almost surely, 22225409817 is an apocalyptic number.

It is an amenable number.

2225409817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225409817 is an equidigital number, since it uses as much as digits as its factorization.

2225409817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 2225409817 is about 47174.2495117834. The cubic root of 2225409817 is about 1305.5795328743.

The spelling of 2225409817 in words is "two billion, two hundred twenty-five million, four hundred nine thousand, eight hundred seventeen".