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252205249 is a prime number
BaseRepresentation
bin11110000100001…
…01100011000001
3122120120100120011
433002011203001
51004031031444
641005344521
76151465162
oct1702054301
9576510504
10252205249
1111a3aa59a
1270568141
134033539a
14256d1769
151721c734
hexf0858c1

252205249 has 2 divisors, whose sum is σ = 252205250. Its totient is φ = 252205248.

The previous prime is 252205241. The next prime is 252205273. The reversal of 252205249 is 942502252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230068224 + 22137025 = 15168^2 + 4705^2 .

It is a cyclic number.

It is not a de Polignac number, because 252205249 - 23 = 252205241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252205249.

It is not a weakly prime, because it can be changed into another prime (252205241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126102624 + 126102625.

It is an arithmetic number, because the mean of its divisors is an integer number (126102625).

Almost surely, 2252205249 is an apocalyptic number.

It is an amenable number.

252205249 is a deficient number, since it is larger than the sum of its proper divisors (1).

252205249 is an equidigital number, since it uses as much as digits as its factorization.

252205249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 252205249 is about 15880.9712864170. The cubic root of 252205249 is about 631.8073982152.

The spelling of 252205249 in words is "two hundred fifty-two million, two hundred five thousand, two hundred forty-nine".