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164254301 is a prime number
BaseRepresentation
bin10011100101001…
…01001001011101
3102110001222112122
421302211021131
5314022114201
624144312325
74033065341
oct1162451135
9373058478
10164254301
1184798762
12470126a5
132804ccc3
1417b59621
15e647e1b
hex9ca525d

164254301 has 2 divisors, whose sum is σ = 164254302. Its totient is φ = 164254300.

The previous prime is 164254243. The next prime is 164254303. The reversal of 164254301 is 103452461.

164254301 is digitally balanced in base 2, 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., 161925625 + 2328676 = 12725^2 + 1526^2 .

It is a cyclic number.

It is not a de Polignac number, because 164254301 - 222 = 160059997 is a prime.

Together with 164254303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164254303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82127150 + 82127151.

It is an arithmetic number, because the mean of its divisors is an integer number (82127151).

Almost surely, 2164254301 is an apocalyptic number.

It is an amenable number.

164254301 is a deficient number, since it is larger than the sum of its proper divisors (1).

164254301 is an equidigital number, since it uses as much as digits as its factorization.

164254301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164254301 is about 12816.1734148692. The cubic root of 164254301 is about 547.6531417620.

The spelling of 164254301 in words is "one hundred sixty-four million, two hundred fifty-four thousand, three hundred one".