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226310081 is a prime number
BaseRepresentation
bin11010111110100…
…11011111000001
3120202211202001212
431133103133001
5430413410311
634242335505
75415414104
oct1537233701
9522752055
10226310081
11106823128
126395a595
1337b698ba
14220b073b
1514d04c8b
hexd7d37c1

226310081 has 2 divisors, whose sum is σ = 226310082. Its totient is φ = 226310080.

The previous prime is 226310033. The next prime is 226310089. The reversal of 226310081 is 180013622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226231681 + 78400 = 15041^2 + 280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226310081 is a prime.

It is a super-2 number, since 2×2263100812 = 102432505524453122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (226310089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113155040 + 113155041.

It is an arithmetic number, because the mean of its divisors is an integer number (113155041).

Almost surely, 2226310081 is an apocalyptic number.

It is an amenable number.

226310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

226310081 is an equidigital number, since it uses as much as digits as its factorization.

226310081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 226310081 is about 15043.6059839388. The cubic root of 226310081 is about 609.3983865178.

The spelling of 226310081 in words is "two hundred twenty-six million, three hundred ten thousand, eighty-one".