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228719417281 is a prime number
BaseRepresentation
bin1101010100000010111…
…1010101011111000001
3210212100211221020121221
43111000233111133001
512221404132323111
6253023334515041
722344610653355
oct3250057253701
9725324836557
10228719417281
1188aaa16a503
12383b1805a81
13187502b7404
14b0da421465
155e39946371
hex3540bd57c1

228719417281 has 2 divisors, whose sum is σ = 228719417282. Its totient is φ = 228719417280.

The previous prime is 228719417249. The next prime is 228719417299. The reversal of 228719417281 is 182714917822.

It is a happy number.

228719417281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176413440256 + 52305977025 = 420016^2 + 228705^2 .

It is a cyclic number.

It is not a de Polignac number, because 228719417281 - 25 = 228719417249 is a prime.

It is a super-3 number, since 3×2287194172813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (228719417231) 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, 114359708640 + 114359708641.

It is an arithmetic number, because the mean of its divisors is an integer number (114359708641).

Almost surely, 2228719417281 is an apocalyptic number.

It is an amenable number.

228719417281 is a deficient number, since it is larger than the sum of its proper divisors (1).

228719417281 is an equidigital number, since it uses as much as digits as its factorization.

228719417281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 903168, while the sum is 52.

The spelling of 228719417281 in words is "two hundred twenty-eight billion, seven hundred nineteen million, four hundred seventeen thousand, two hundred eighty-one".