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165252209 is a prime number
BaseRepresentation
bin10011101100110…
…00110001110001
3102111221200102012
421312120301301
5314301032314
624221532305
74044422603
oct1166306161
9374850365
10165252209
118530a481
1247414095
132830c295
1417d39173
15e79393e
hex9d98c71

165252209 has 2 divisors, whose sum is σ = 165252210. Its totient is φ = 165252208.

The previous prime is 165252169. The next prime is 165252229. The reversal of 165252209 is 902252561.

165252209 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., 159264400 + 5987809 = 12620^2 + 2447^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165252209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (165252229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82626104 + 82626105.

It is an arithmetic number, because the mean of its divisors is an integer number (82626105).

Almost surely, 2165252209 is an apocalyptic number.

It is an amenable number.

165252209 is a deficient number, since it is larger than the sum of its proper divisors (1).

165252209 is an equidigital number, since it uses as much as digits as its factorization.

165252209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 165252209 is about 12855.0460520373. The cubic root of 165252209 is about 548.7599710726.

The spelling of 165252209 in words is "one hundred sixty-five million, two hundred fifty-two thousand, two hundred nine".