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220401329 is a prime number
BaseRepresentation
bin11010010001100…
…00111010110001
3120100201112210012
431020300322301
5422410320304
633511544305
75314244321
oct1510607261
9510645705
10220401329
11103457865
126198b095
133687b2b5
14213b3281
151453916e
hexd230eb1

220401329 has 2 divisors, whose sum is σ = 220401330. Its totient is φ = 220401328.

The previous prime is 220401323. The next prime is 220401371. The reversal of 220401329 is 923104022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190992400 + 29408929 = 13820^2 + 5423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220401329 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (220401323) 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, 110200664 + 110200665.

It is an arithmetic number, because the mean of its divisors is an integer number (110200665).

Almost surely, 2220401329 is an apocalyptic number.

It is an amenable number.

220401329 is a deficient number, since it is larger than the sum of its proper divisors (1).

220401329 is an equidigital number, since it uses as much as digits as its factorization.

220401329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 220401329 is about 14845.9196077575. The cubic root of 220401329 is about 604.0479336036.

The spelling of 220401329 in words is "two hundred twenty million, four hundred one thousand, three hundred twenty-nine".