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20221693209 = 3210724432
BaseRepresentation
bin10010110101010011…
…101000110100011001
31221012021200110011100
4102311103220310121
5312403223140314
613142325022013
71314053361534
oct226523506431
957167613140
1020221693209
118637689453
123b04254909
131ba35b8c53
14d9b913a1b
157d545cc09
hex4b54e8d19

20221693209 has 27 divisors (see below), whose sum is σ = 29551353013. Its totient is φ = 13324989912.

The previous prime is 20221693169. The next prime is 20221693229. The reversal of 20221693209 is 90239612202.

The square root of 20221693209 is 142203.

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

It is not a de Polignac number, because 20221693209 - 219 = 20221168921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20221693229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45646942 + ... + 45647384.

Almost surely, 220221693209 is an apocalyptic number.

20221693209 is the 142203-rd square number.

20221693209 is the 71102-nd centered octagonal number.

It is an amenable number.

20221693209 is a deficient number, since it is larger than the sum of its proper divisors (9329659804).

20221693209 is an frugal number, since it uses more digits than its factorization.

20221693209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 20221693209 by its sum of digits (36), we get a square (727980955524 = 8532182).

The spelling of 20221693209 in words is "twenty billion, two hundred twenty-one million, six hundred ninety-three thousand, two hundred nine".

Divisors: 1 3 9 107 321 443 963 1329 3987 11449 34347 47401 103041 142203 196249 426609 588747 1766241 5071907 15215721 20998643 45647163 62995929 188987787 2246854801 6740564403 20221693209