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1226829761 is a prime number
BaseRepresentation
bin100100100011111…
…1110111111000001
310011111111102001022
41021013332333001
510003032023021
6321423115225
742254611103
oct11107767701
93144442038
101226829761
1157a5713a3
122a2a42b15
13167229491
14b8d15573
1572a8a1ab
hex491fefc1

1226829761 has 2 divisors, whose sum is σ = 1226829762. Its totient is φ = 1226829760.

The previous prime is 1226829739. The next prime is 1226829763. The reversal of 1226829761 is 1679286221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879715600 + 347114161 = 29660^2 + 18631^2 .

It is a cyclic number.

It is not a de Polignac number, because 1226829761 - 210 = 1226828737 is a prime.

It is a super-2 number, since 2×12268297612 = 3010222524950634242, which contains 22 as substring.

Together with 1226829763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1226829763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 613414880 + 613414881.

It is an arithmetic number, because the mean of its divisors is an integer number (613414881).

Almost surely, 21226829761 is an apocalyptic number.

It is an amenable number.

1226829761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1226829761 is an equidigital number, since it uses as much as digits as its factorization.

1226829761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 44.

The square root of 1226829761 is about 35026.1296891335. The cubic root of 1226829761 is about 1070.5199560434.

The spelling of 1226829761 in words is "one billion, two hundred twenty-six million, eight hundred twenty-nine thousand, seven hundred sixty-one".