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226153010297 is a prime number
BaseRepresentation
bin1101001010011111000…
…1010001010001111001
3210121201222210021002102
43102213301101101321
512201130132312142
6251520535513145
722224165604304
oct3224761212171
9717658707072
10226153010297
1187a025299a5
12379b62287b5
13184316a69b6
14ad35645b3b
155d3949e532
hex34a7c51479

226153010297 has 2 divisors, whose sum is σ = 226153010298. Its totient is φ = 226153010296.

The previous prime is 226153010273. The next prime is 226153010299. The reversal of 226153010297 is 792010351622.

226153010297 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., 113098362601 + 113054647696 = 336301^2 + 336236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226153010297 is a prime.

It is a super-2 number, since 2×2261530102972 (a number of 24 digits) contains 22 as substring.

Together with 226153010299, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226153010297.

It is not a weakly prime, because it can be changed into another prime (226153010299) 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, 113076505148 + 113076505149.

It is an arithmetic number, because the mean of its divisors is an integer number (113076505149).

Almost surely, 2226153010297 is an apocalyptic number.

It is an amenable number.

226153010297 is a deficient number, since it is larger than the sum of its proper divisors (1).

226153010297 is an equidigital number, since it uses as much as digits as its factorization.

226153010297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 226153010297 in words is "two hundred twenty-six billion, one hundred fifty-three million, ten thousand, two hundred ninety-seven".