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164400281 is a prime number
BaseRepresentation
bin10011100110010…
…00110010011001
3102110100101210022
421303020302121
5314041302111
624151400225
74034244053
oct1163106231
9373311708
10164400281
1184888401
1247083075
13280a1596
1417b968d3
15e6762db
hex9cc8c99

164400281 has 2 divisors, whose sum is σ = 164400282. Its totient is φ = 164400280.

The previous prime is 164400277. The next prime is 164400317. The reversal of 164400281 is 182004461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100320256 + 64080025 = 10016^2 + 8005^2 .

It is an emirp because it is prime and its reverse (182004461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164400281 - 22 = 164400277 is a prime.

It is a super-2 number, since 2×1644002812 = 54054904785757922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164400281.

It is not a weakly prime, because it can be changed into another prime (164400211) 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, 82200140 + 82200141.

It is an arithmetic number, because the mean of its divisors is an integer number (82200141).

Almost surely, 2164400281 is an apocalyptic number.

It is an amenable number.

164400281 is a deficient number, since it is larger than the sum of its proper divisors (1).

164400281 is an equidigital number, since it uses as much as digits as its factorization.

164400281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 164400281 is about 12821.8672977067. The cubic root of 164400281 is about 547.8153348428.

The spelling of 164400281 in words is "one hundred sixty-four million, four hundred thousand, two hundred eighty-one".