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252220217 is a prime number
BaseRepresentation
bin11110000100010…
…01001100111001
3122120121010002112
433002021030321
51004032021332
641005542105
76151556624
oct1702111471
9576533075
10252220217
1111a40a867
1270574935
134033c142
14256d6dbb
1517221db2
hexf089339

252220217 has 2 divisors, whose sum is σ = 252220218. Its totient is φ = 252220216.

The previous prime is 252220207. The next prime is 252220249. The reversal of 252220217 is 712022252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251507881 + 712336 = 15859^2 + 844^2 .

It is a cyclic number.

It is not a de Polignac number, because 252220217 - 24 = 252220201 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252220192 and 252220201.

It is not a weakly prime, because it can be changed into another prime (252220207) 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, 126110108 + 126110109.

It is an arithmetic number, because the mean of its divisors is an integer number (126110109).

Almost surely, 2252220217 is an apocalyptic number.

It is an amenable number.

252220217 is a deficient number, since it is larger than the sum of its proper divisors (1).

252220217 is an equidigital number, since it uses as much as digits as its factorization.

252220217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 252220217 is about 15881.4425352359. The cubic root of 252220217 is about 631.8198969058.

Adding to 252220217 its reverse (712022252), we get a palindrome (964242469).

The spelling of 252220217 in words is "two hundred fifty-two million, two hundred twenty thousand, two hundred seventeen".