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288384221 is a prime number
BaseRepresentation
bin10001001100000…
…110010011011101
3202002122102210002
4101030012103131
51042311243341
644341024045
710101140216
oct2114062335
9662572702
10288384221
11138870374
12806b5025
1347991968
142a42c40d
151a4b729b
hex113064dd

288384221 has 2 divisors, whose sum is σ = 288384222. Its totient is φ = 288384220.

The previous prime is 288384199. The next prime is 288384251. The reversal of 288384221 is 122483882.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214183225 + 74200996 = 14635^2 + 8614^2 .

It is a cyclic number.

It is not a de Polignac number, because 288384221 - 214 = 288367837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288384251) 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, 144192110 + 144192111.

It is an arithmetic number, because the mean of its divisors is an integer number (144192111).

Almost surely, 2288384221 is an apocalyptic number.

It is an amenable number.

288384221 is a deficient number, since it is larger than the sum of its proper divisors (1).

288384221 is an equidigital number, since it uses as much as digits as its factorization.

288384221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 38.

The square root of 288384221 is about 16981.8791951892. The cubic root of 288384221 is about 660.6789928413.

The spelling of 288384221 in words is "two hundred eighty-eight million, three hundred eighty-four thousand, two hundred twenty-one".