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228593995601 is a prime number
BaseRepresentation
bin1101010011100101000…
…0111000111101010001
3210212001002221011102112
43110321100320331101
512221130030324401
6253003054355105
722341525621446
oct3247120707521
9725032834375
10228593995601
1188a45395324
12383777bba95
13187303127ba
14b0c78d39cd
155e2d91e3bb
hex3539438f51

228593995601 has 2 divisors, whose sum is σ = 228593995602. Its totient is φ = 228593995600.

The previous prime is 228593995583. The next prime is 228593995633. The reversal of 228593995601 is 106599395822.

228593995601 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., 217305145600 + 11288850001 = 466160^2 + 106249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-228593995601 is a prime.

It is not a weakly prime, because it can be changed into another prime (228592995601) 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, 114296997800 + 114296997801.

It is an arithmetic number, because the mean of its divisors is an integer number (114296997801).

Almost surely, 2228593995601 is an apocalyptic number.

It is an amenable number.

228593995601 is a deficient number, since it is larger than the sum of its proper divisors (1).

228593995601 is an equidigital number, since it uses as much as digits as its factorization.

228593995601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10497600, while the sum is 59.

The spelling of 228593995601 in words is "two hundred twenty-eight billion, five hundred ninety-three million, nine hundred ninety-five thousand, six hundred one".