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1223607257 is a prime number
BaseRepresentation
bin100100011101110…
…1100001111011001
310011021102200121022
41020323230033121
510001220413012
6321230052225
742215330045
oct11073541731
93137380538
101223607257
11578770274
122a194a075
1316666b782
14b8717025
1572650472
hex48eec3d9

1223607257 has 2 divisors, whose sum is σ = 1223607258. Its totient is φ = 1223607256.

The previous prime is 1223607233. The next prime is 1223607323. The reversal of 1223607257 is 7527063221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1077414976 + 146192281 = 32824^2 + 12091^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223607257 - 220 = 1222558681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1223607857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611803628 + 611803629.

It is an arithmetic number, because the mean of its divisors is an integer number (611803629).

Almost surely, 21223607257 is an apocalyptic number.

It is an amenable number.

1223607257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223607257 is an equidigital number, since it uses as much as digits as its factorization.

1223607257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 1223607257 is about 34980.0980130131. The cubic root of 1223607257 is about 1069.5818254114.

The spelling of 1223607257 in words is "one billion, two hundred twenty-three million, six hundred seven thousand, two hundred fifty-seven".