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14822332009 = 21125772
BaseRepresentation
bin11011100110111101…
…01101011001101001
31102020222211111000121
431303132231121221
5220324004111014
610450450003241
71033211512642
oct156336553151
942228744017
1014822332009
116316902471
122a57b76521
131522ab0774
14a087b66c9
155bb41c124
hex3737ad669

14822332009 has 9 divisors (see below), whose sum is σ = 14918768631. Its totient is φ = 14726517120.

The previous prime is 14822331983. The next prime is 14822332043. The reversal of 14822332009 is 90023322841.

It is a happy number.

The square root of 14822332009 is 121747.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14719755625 + 102576384 = 121325^2 + 10128^2 .

It is not a de Polignac number, because 14822332009 - 29 = 14822331497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14822332309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25688329 + ... + 25688905.

It is an arithmetic number, because the mean of its divisors is an integer number (1657640959).

Almost surely, 214822332009 is an apocalyptic number.

14822332009 is the 121747-th square number.

14822332009 is the 60874-th centered octagonal number.

It is an amenable number.

14822332009 is a deficient number, since it is larger than the sum of its proper divisors (96436622).

14822332009 is an frugal number, since it uses more digits than its factorization.

14822332009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 14822332009 by its product of nonzero digits (20736), we get a square (307355876538624 = 175315682).

The spelling of 14822332009 in words is "fourteen billion, eight hundred twenty-two million, three hundred thirty-two thousand, nine".

Divisors: 1 211 577 44521 121747 332929 25688617 70248019 14822332009