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233132022229 is a prime number
BaseRepresentation
bin1101100100011111000…
…0000101100111010101
3211021202101000210122211
43121013300011213111
512304423244202404
6255033244153421
722562141331001
oct3310760054725
9737671023584
10233132022229
118a963a48957
1239223538871
1318ca4541862
14b3d849b701
1560e701eb04
hex3647c059d5

233132022229 has 2 divisors, whose sum is σ = 233132022230. Its totient is φ = 233132022228.

The previous prime is 233132022209. The next prime is 233132022257. The reversal of 233132022229 is 922220231332.

It is a happy number.

233132022229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229251355204 + 3880667025 = 478802^2 + 62295^2 .

It is a cyclic number.

It is not a de Polignac number, because 233132022229 - 223 = 233123633621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233132022229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233132022209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116566011114 + 116566011115.

It is an arithmetic number, because the mean of its divisors is an integer number (116566011115).

Almost surely, 2233132022229 is an apocalyptic number.

It is an amenable number.

233132022229 is a deficient number, since it is larger than the sum of its proper divisors (1).

233132022229 is an equidigital number, since it uses as much as digits as its factorization.

233132022229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 233132022229 in words is "two hundred thirty-three billion, one hundred thirty-two million, twenty-two thousand, two hundred twenty-nine".