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226633313 is a prime number
BaseRepresentation
bin11011000001000…
…10011001100001
3120210110011110102
431200202121201
5431004231223
634253312145
75421231344
oct1540423141
9523404412
10226633313
11106a23a65
1263a95655
1337c50a6a
142215645b
1514d6a928
hexd822661

226633313 has 2 divisors, whose sum is σ = 226633314. Its totient is φ = 226633312.

The previous prime is 226633301. The next prime is 226633357. The reversal of 226633313 is 313336622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142874209 + 83759104 = 11953^2 + 9152^2 .

It is a cyclic number.

It is not a de Polignac number, because 226633313 - 212 = 226629217 is a prime.

It is a super-2 number, since 2×2266333132 = 102725317122711938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (226633373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113316656 + 113316657.

It is an arithmetic number, because the mean of its divisors is an integer number (113316657).

Almost surely, 2226633313 is an apocalyptic number.

It is an amenable number.

226633313 is a deficient number, since it is larger than the sum of its proper divisors (1).

226633313 is an equidigital number, since it uses as much as digits as its factorization.

226633313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 29.

The square root of 226633313 is about 15054.3453195415. The cubic root of 226633313 is about 609.6883770680.

Adding to 226633313 its reverse (313336622), we get a palindrome (539969935).

The spelling of 226633313 in words is "two hundred twenty-six million, six hundred thirty-three thousand, three hundred thirteen".