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226521323681 is a prime number
BaseRepresentation
bin1101001011110110111…
…0010001100010100001
3210122200122211112001212
43102331232101202201
512202403424324211
6252021254035505
722236260324252
oct3227556214241
9718618745055
10226521323681
1188081422224
1237a99648b95
131848caa2703
14ad6c51cb29
155d5b9a438b
hex34bdb918a1

226521323681 has 2 divisors, whose sum is σ = 226521323682. Its totient is φ = 226521323680.

The previous prime is 226521323627. The next prime is 226521323701. The reversal of 226521323681 is 186323125622.

226521323681 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., 202874573056 + 23646750625 = 450416^2 + 153775^2 .

It is a cyclic number.

It is not a de Polignac number, because 226521323681 - 218 = 226521061537 is a prime.

It is a super-2 number, since 2×2265213236812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226521323621) 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, 113260661840 + 113260661841.

It is an arithmetic number, because the mean of its divisors is an integer number (113260661841).

Almost surely, 2226521323681 is an apocalyptic number.

It is an amenable number.

226521323681 is a deficient number, since it is larger than the sum of its proper divisors (1).

226521323681 is an equidigital number, since it uses as much as digits as its factorization.

226521323681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 41.

The spelling of 226521323681 in words is "two hundred twenty-six billion, five hundred twenty-one million, three hundred twenty-three thousand, six hundred eighty-one".