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2226561017 is a prime number
BaseRepresentation
bin1000010010110110…
…1001111111111001
312202011200000111212
42010231221333321
514024444423032
61004534532505
7106114312352
oct20455517771
95664600455
102226561017
11a4292127a
12521807135
132963a1235
141719d2d29
15d0716bb2
hex84b69ff9

2226561017 has 2 divisors, whose sum is σ = 2226561018. Its totient is φ = 2226561016.

The previous prime is 2226560993. The next prime is 2226561049. The reversal of 2226561017 is 7101656222.

It is an a-pointer prime, because the next prime (2226561049) can be obtained adding 2226561017 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1676001721 + 550559296 = 40939^2 + 23464^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226561017 - 26 = 2226560953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2226561097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113280508 + 1113280509.

It is an arithmetic number, because the mean of its divisors is an integer number (1113280509).

Almost surely, 22226561017 is an apocalyptic number.

It is an amenable number.

2226561017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226561017 is an equidigital number, since it uses as much as digits as its factorization.

2226561017 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 32.

The square root of 2226561017 is about 47186.4495061877. The cubic root of 2226561017 is about 1305.8046186178.

The spelling of 2226561017 in words is "two billion, two hundred twenty-six million, five hundred sixty-one thousand, seventeen".