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2232240322289 is a prime number
BaseRepresentation
bin100000011110111011111…
…001000011011011110001
321220101210122222121021012
4200132323321003123301
5243033112010303124
64425251013040305
7320162665446545
oct40367371033361
97811718877235
102232240322289
1179076251633a
12300758926095
13132665127413
147a080751a25
153d0ebaaee0e
hex207bbe436f1

2232240322289 has 2 divisors, whose sum is σ = 2232240322290. Its totient is φ = 2232240322288.

The previous prime is 2232240322259. The next prime is 2232240322331. The reversal of 2232240322289 is 9822230422322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2197486041664 + 34754280625 = 1482392^2 + 186425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232240322289 - 212 = 2232240318193 is a prime.

It is a super-3 number, since 3×22322403222893 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232240322259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116120161144 + 1116120161145.

It is an arithmetic number, because the mean of its divisors is an integer number (1116120161145).

Almost surely, 22232240322289 is an apocalyptic number.

It is an amenable number.

2232240322289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232240322289 is an equidigital number, since it uses as much as digits as its factorization.

2232240322289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 2232240322289 in words is "two trillion, two hundred thirty-two billion, two hundred forty million, three hundred twenty-two thousand, two hundred eighty-nine".