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226130351 is a prime number
BaseRepresentation
bin11010111101001…
…11100110101111
3120202111121112012
431132213212233
5430342132401
634234431435
75414035106
oct1536474657
9522447465
10226130351
11106710097
126389257b
1337b05b55
142206503d
1514cbb8bb
hexd7a79af

• 226130351 is the 12441600-th prime, and 12441600 = 2! ⋅ 2! ⋅ 6! ⋅ 1! ⋅ 3! ⋅ 0! ⋅ 3! ⋅ 5! ⋅ 1!.


226130351 has 2 divisors, whose sum is σ = 226130352. Its totient is φ = 226130350.

The previous prime is 226130329. The next prime is 226130357. The reversal of 226130351 is 153031622.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 226130351 - 214 = 226113967 is a prime.

It is a super-2 number, since 2×2261303512 = 102269871286766402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226130357) 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, 113065175 + 113065176.

It is an arithmetic number, because the mean of its divisors is an integer number (113065176).

Almost surely, 2226130351 is an apocalyptic number.

226130351 is a deficient number, since it is larger than the sum of its proper divisors (1).

226130351 is an equidigital number, since it uses as much as digits as its factorization.

226130351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 226130351 is about 15037.6311631852. The cubic root of 226130351 is about 609.2370206329.

Adding to 226130351 its reverse (153031622), we get a palindrome (379161973).

The spelling of 226130351 in words is "two hundred twenty-six million, one hundred thirty thousand, three hundred fifty-one".