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10226429 is a prime number
BaseRepresentation
bin100111000000…
…101011111101
3201020120000122
4213000223331
510104221204
61003104325
7152631443
oct47005375
921216018
1010226429
1158552a4
1235120a5
132170955
141502b93
15d700be
hex9c0afd

10226429 has 2 divisors, whose sum is σ = 10226430. Its totient is φ = 10226428.

The previous prime is 10226423. The next prime is 10226431. The reversal of 10226429 is 92462201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8791225 + 1435204 = 2965^2 + 1198^2 .

It is a cyclic number.

It is not a de Polignac number, because 10226429 - 24 = 10226413 is a prime.

Together with 10226431, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10226398 and 10226407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10226423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5113214 + 5113215.

It is an arithmetic number, because the mean of its divisors is an integer number (5113215).

Almost surely, 210226429 is an apocalyptic number.

It is an amenable number.

10226429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10226429 is an equidigital number, since it uses as much as digits as its factorization.

10226429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10226429 is about 3197.8788282235. The cubic root of 10226429 is about 217.0574362888.

The spelling of 10226429 in words is "ten million, two hundred twenty-six thousand, four hundred twenty-nine".