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322253201 is a prime number
BaseRepresentation
bin10011001101010…
…011000110010001
3211110101011021202
4103031103012101
51124444100301
651551000545
710662051464
oct2315230621
9743334252
10322253201
111559a3666
128bb09155
13519bc98a
1430b272db
151d45766b
hex13353191

322253201 has 2 divisors, whose sum is σ = 322253202. Its totient is φ = 322253200.

The previous prime is 322253149. The next prime is 322253203. The reversal of 322253201 is 102352223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317694976 + 4558225 = 17824^2 + 2135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322253201 is a prime.

Together with 322253203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (322253203) 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, 161126600 + 161126601.

It is an arithmetic number, because the mean of its divisors is an integer number (161126601).

Almost surely, 2322253201 is an apocalyptic number.

It is an amenable number.

322253201 is a deficient number, since it is larger than the sum of its proper divisors (1).

322253201 is an equidigital number, since it uses as much as digits as its factorization.

322253201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 322253201 is about 17951.4122285685. The cubic root of 322253201 is about 685.5920085022.

The spelling of 322253201 in words is "three hundred twenty-two million, two hundred fifty-three thousand, two hundred one".