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10226257 is a prime number
BaseRepresentation
bin100111000000…
…101001010001
3201020112210021
4213000221101
510104220012
61003103441
7152631106
oct47005121
921215707
1010226257
115855158
123511b81
132170852
141502aad
15d70007
hex9c0a51

10226257 has 2 divisors, whose sum is σ = 10226258. Its totient is φ = 10226256.

The previous prime is 10226233. The next prime is 10226263. The reversal of 10226257 is 75262201.

10226257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 3129361 = 2664^2 + 1769^2 .

It is a cyclic number.

It is not a de Polignac number, because 10226257 - 219 = 9701969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10206257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5113128 + 5113129.

It is an arithmetic number, because the mean of its divisors is an integer number (5113129).

Almost surely, 210226257 is an apocalyptic number.

It is an amenable number.

10226257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10226257 is an equidigital number, since it uses as much as digits as its factorization.

10226257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10226257 is about 3197.8519352841. The cubic root of 10226257 is about 217.0562193737.

Adding to 10226257 its reverse (75262201), we get a palindrome (85488458).

The spelling of 10226257 in words is "ten million, two hundred twenty-six thousand, two hundred fifty-seven".