Search a number
-
+
22164509 is a prime number
BaseRepresentation
bin101010010001…
…1010000011101
31112201001222202
41110203100131
521133231014
62111021245
7356252363
oct124432035
945631882
1022164509
1111569584
12750a825
1347906c3
142d2d633
151e2c3de
hex152341d

22164509 has 2 divisors, whose sum is σ = 22164510. Its totient is φ = 22164508.

The previous prime is 22164503. The next prime is 22164511. The reversal of 22164509 is 90546122.

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., 21436900 + 727609 = 4630^2 + 853^2 .

It is a cyclic number.

It is not a de Polignac number, because 22164509 - 28 = 22164253 is a prime.

It is a super-2 number, since 2×221645092 = 982530918422162, which contains 22 as substring.

Together with 22164511, 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 (22164503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11082254 + 11082255.

It is an arithmetic number, because the mean of its divisors is an integer number (11082255).

Almost surely, 222164509 is an apocalyptic number.

It is an amenable number.

22164509 is a deficient number, since it is larger than the sum of its proper divisors (1).

22164509 is an equidigital number, since it uses as much as digits as its factorization.

22164509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 22164509 is about 4707.9198166494. The cubic root of 22164509 is about 280.9006246796.

The spelling of 22164509 in words is "twenty-two million, one hundred sixty-four thousand, five hundred nine".