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252218833 is a prime number
BaseRepresentation
bin11110000100010…
…00110111010001
3122120121001012021
433002020313101
51004032000313
641005531441
76151552606
oct1702106721
9576531167
10252218833
1111a409819
1270573b81
134033b619
14256d66ad
151722178d
hexf088dd1

252218833 has 2 divisors, whose sum is σ = 252218834. Its totient is φ = 252218832.

The previous prime is 252218809. The next prime is 252218867. The reversal of 252218833 is 338812252.

It is an a-pointer prime, because the next prime (252218867) can be obtained adding 252218833 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208022929 + 44195904 = 14423^2 + 6648^2 .

It is a cyclic number.

It is not a de Polignac number, because 252218833 - 29 = 252218321 is a prime.

It is a super-2 number, since 2×2522188332 = 127228679439763778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252218803) 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, 126109416 + 126109417.

It is an arithmetic number, because the mean of its divisors is an integer number (126109417).

Almost surely, 2252218833 is an apocalyptic number.

It is an amenable number.

252218833 is a deficient number, since it is larger than the sum of its proper divisors (1).

252218833 is an equidigital number, since it uses as much as digits as its factorization.

252218833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 34.

The square root of 252218833 is about 15881.3989623081. The cubic root of 252218833 is about 631.8187412485.

The spelling of 252218833 in words is "two hundred fifty-two million, two hundred eighteen thousand, eight hundred thirty-three".