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2022132289 is a prime number
BaseRepresentation
bin111100010000111…
…0100101001000001
312012220222222000111
41320201310221001
513120131213124
6532353151321
7101052561262
oct17041645101
95186888014
102022132289
11948493a11
1248525b541
13262c261a8
141527ba969
15bc7d5494
hex78874a41

2022132289 has 2 divisors, whose sum is σ = 2022132290. Its totient is φ = 2022132288.

The previous prime is 2022132253. The next prime is 2022132313. The reversal of 2022132289 is 9822312202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1353651264 + 668481025 = 36792^2 + 25855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022132289 - 217 = 2022001217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2022132289.

It is not a weakly prime, because it can be changed into another prime (2022132389) 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, 1011066144 + 1011066145.

It is an arithmetic number, because the mean of its divisors is an integer number (1011066145).

Almost surely, 22022132289 is an apocalyptic number.

It is an amenable number.

2022132289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022132289 is an equidigital number, since it uses as much as digits as its factorization.

2022132289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2022132289 is about 44968.1252555630. The cubic root of 2022132289 is about 1264.5515007202.

The spelling of 2022132289 in words is "two billion, twenty-two million, one hundred thirty-two thousand, two hundred eighty-nine".