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226557208817 is a prime number
BaseRepresentation
bin1101001011111111011…
…1001010100011110001
3210122210011100200012222
43102333313022203301
512202442121140232
6252025015130425
722240204333532
oct3227767124361
9718704320188
10226557208817
118809a702265
1237aa9673a15
1318497358314
14ad731c0689
155d5ebe1d12
hex34bfdca8f1

226557208817 has 2 divisors, whose sum is σ = 226557208818. Its totient is φ = 226557208816.

The previous prime is 226557208789. The next prime is 226557208841. The reversal of 226557208817 is 718802755622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189785694736 + 36771514081 = 435644^2 + 191759^2 .

It is a cyclic number.

It is not a de Polignac number, because 226557208817 - 28 = 226557208561 is a prime.

It is a super-3 number, since 3×2265572088173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (226557298817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113278604408 + 113278604409.

It is an arithmetic number, because the mean of its divisors is an integer number (113278604409).

Almost surely, 2226557208817 is an apocalyptic number.

It is an amenable number.

226557208817 is a deficient number, since it is larger than the sum of its proper divisors (1).

226557208817 is an equidigital number, since it uses as much as digits as its factorization.

226557208817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 226557208817 in words is "two hundred twenty-six billion, five hundred fifty-seven million, two hundred eight thousand, eight hundred seventeen".