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225164213 is a prime number
BaseRepresentation
bin11010110101110…
…11101110110101
3120200200112020022
431122323232311
5430120223323
634202014525
75402602301
oct1532735665
9520615208
10225164213
1110611022a
12634a7445
1337858181
1421c92d01
1514b7a4c8
hexd6bbbb5

225164213 has 2 divisors, whose sum is σ = 225164214. Its totient is φ = 225164212.

The previous prime is 225164209. The next prime is 225164239. The reversal of 225164213 is 312461522.

It is a happy number.

It is an a-pointer prime, because the next prime (225164239) can be obtained adding 225164213 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123698884 + 101465329 = 11122^2 + 10073^2 .

It is a cyclic number.

It is not a de Polignac number, because 225164213 - 22 = 225164209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225161213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112582106 + 112582107.

It is an arithmetic number, because the mean of its divisors is an integer number (112582107).

Almost surely, 2225164213 is an apocalyptic number.

It is an amenable number.

225164213 is a deficient number, since it is larger than the sum of its proper divisors (1).

225164213 is an equidigital number, since it uses as much as digits as its factorization.

225164213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 225164213 is about 15005.4727682936. The cubic root of 225164213 is about 608.3681304838.

The spelling of 225164213 in words is "two hundred twenty-five million, one hundred sixty-four thousand, two hundred thirteen".