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2226267257 is a prime number
BaseRepresentation
bin1000010010110010…
…0010010001111001
312202011010002112212
42010230202101321
514024411023012
61004524344505
7106111650044
oct20454422171
95664102485
102226267257
11a427405a5
125216a5135
132962ca606
14171957c5b
15d06a9b22
hex84b22479

2226267257 has 2 divisors, whose sum is σ = 2226267258. Its totient is φ = 2226267256.

The previous prime is 2226267209. The next prime is 2226267287. The reversal of 2226267257 is 7527626222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2190614416 + 35652841 = 46804^2 + 5971^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226267257 - 222 = 2222072953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2226267287) 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, 1113133628 + 1113133629.

It is an arithmetic number, because the mean of its divisors is an integer number (1113133629).

Almost surely, 22226267257 is an apocalyptic number.

It is an amenable number.

2226267257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226267257 is an equidigital number, since it uses as much as digits as its factorization.

2226267257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 41.

The square root of 2226267257 is about 47183.3366454726. The cubic root of 2226267257 is about 1305.7471892408.

The spelling of 2226267257 in words is "two billion, two hundred twenty-six million, two hundred sixty-seven thousand, two hundred fifty-seven".