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226306813 is a prime number
BaseRepresentation
bin11010111110100…
…10101011111101
3120202211120120211
431133102223331
5430413304223
634242312421
75415401425
oct1537225375
9522746524
10226306813
11106820727
1263958711
1337b68275
14220ad485
1514d03d0d
hexd7d2afd

226306813 has 2 divisors, whose sum is σ = 226306814. Its totient is φ = 226306812.

The previous prime is 226306709. The next prime is 226306841. The reversal of 226306813 is 318603622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154430329 + 71876484 = 12427^2 + 8478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226306813 is a prime.

It is a super-2 number, since 2×2263068132 = 102429547220433938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226306013) 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, 113153406 + 113153407.

It is an arithmetic number, because the mean of its divisors is an integer number (113153407).

Almost surely, 2226306813 is an apocalyptic number.

It is an amenable number.

226306813 is a deficient number, since it is larger than the sum of its proper divisors (1).

226306813 is an equidigital number, since it uses as much as digits as its factorization.

226306813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 226306813 is about 15043.4973659718. The cubic root of 226306813 is about 609.3954531921.

The spelling of 226306813 in words is "two hundred twenty-six million, three hundred six thousand, eight hundred thirteen".