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252218321 is a prime number
BaseRepresentation
bin11110000100010…
…00101111010001
3122120121000111022
433002020233101
51004031441241
641005525225
76151551245
oct1702105721
9576530438
10252218321
1111a4093a3
1270573815
134033b314
14256d6425
151722154b
hexf088bd1

252218321 has 2 divisors, whose sum is σ = 252218322. Its totient is φ = 252218320.

The previous prime is 252218303. The next prime is 252218327. The reversal of 252218321 is 123812252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212022721 + 40195600 = 14561^2 + 6340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252218321 is a prime.

It is a super-2 number, since 2×2522183212 = 127228162896118082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252218327) 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, 126109160 + 126109161.

It is an arithmetic number, because the mean of its divisors is an integer number (126109161).

Almost surely, 2252218321 is an apocalyptic number.

It is an amenable number.

252218321 is a deficient number, since it is larger than the sum of its proper divisors (1).

252218321 is an equidigital number, since it uses as much as digits as its factorization.

252218321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 26.

The square root of 252218321 is about 15881.3828428132. The cubic root of 252218321 is about 631.8183137211.

The spelling of 252218321 in words is "two hundred fifty-two million, two hundred eighteen thousand, three hundred twenty-one".