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225249284401 is a prime number
BaseRepresentation
bin1101000111000111100…
…1110101000100110001
3210112102000021020012221
43101301321311010301
512142302304100101
6251251133521041
722162613220031
oct3216171650461
9715360236187
10225249284401
1187589392299
12377a3643181
13183193a744b
14ac8b5d98c1
155cd4e88aa1
hex3471e75131

225249284401 has 2 divisors, whose sum is σ = 225249284402. Its totient is φ = 225249284400.

The previous prime is 225249284369. The next prime is 225249284441. The reversal of 225249284401 is 104482942522.

225249284401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141496345600 + 83752938801 = 376160^2 + 289401^2 .

It is a cyclic number.

It is not a de Polignac number, because 225249284401 - 25 = 225249284369 is a prime.

It is not a weakly prime, because it can be changed into another prime (225249284441) 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, 112624642200 + 112624642201.

It is an arithmetic number, because the mean of its divisors is an integer number (112624642201).

Almost surely, 2225249284401 is an apocalyptic number.

It is an amenable number.

225249284401 is a deficient number, since it is larger than the sum of its proper divisors (1).

225249284401 is an equidigital number, since it uses as much as digits as its factorization.

225249284401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 225249284401 in words is "two hundred twenty-five billion, two hundred forty-nine million, two hundred eighty-four thousand, four hundred one".