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332288888882233 is a prime number
BaseRepresentation
bin100101110001101110000100…
…1001011110100010000111001
31121120112111200222212221220011
41023203130021023310100321
5322023210121023212413
63134415224055501521
7126664036301515453
oct11343341113642071
91546474628787804
10332288888882233
1196971a210253a8
12313279906878a1
1311354927c7561a
145c0ac21c5b2d3
1528638e35d633d
hex12e37092f4439

332288888882233 has 2 divisors, whose sum is σ = 332288888882234. Its totient is φ = 332288888882232.

The previous prime is 332288888882213. The next prime is 332288888882297.

332288888882233 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188310080102544 + 143978808779689 = 13722612^2 + 11999117^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332288888882233 - 229 = 332288352011321 is a prime.

It is a super-2 number, since 2×3322888888822332 (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 332288888882233.

It is not a weakly prime, because it can be changed into another prime (332288888882213) 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, 166144444441116 + 166144444441117.

It is an arithmetic number, because the mean of its divisors is an integer number (166144444441117).

Almost surely, 2332288888882233 is an apocalyptic number.

It is an amenable number.

332288888882233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332288888882233 is an equidigital number, since it uses as much as digits as its factorization.

332288888882233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2717908992, while the sum is 76.

The spelling of 332288888882233 in words is "three hundred thirty-two trillion, two hundred eighty-eight billion, eight hundred eighty-eight million, eight hundred eighty-two thousand, two hundred thirty-three".