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226505461235401 is a prime number
BaseRepresentation
bin110011100000000101101001…
…100011100111111011001001
31002200222201012001010022221201
4303200011221203213323021
5214142031141034013101
62121423101123104201
765465323324430335
oct6340055143477311
91080881161108851
10226505461235401
1166198476978217
12214a2338812061
1399504b13109ba
143dd0ccc2da7c5
151b2bdd81a4e01
hexce01698e7ec9

226505461235401 has 2 divisors, whose sum is σ = 226505461235402. Its totient is φ = 226505461235400.

The previous prime is 226505461235387. The next prime is 226505461235411. The reversal of 226505461235401 is 104532164505622.

226505461235401 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., 219813952863376 + 6691508372025 = 14826124^2 + 2586795^2 .

It is a cyclic number.

It is not a de Polignac number, because 226505461235401 - 29 = 226505461234889 is a prime.

It is not a weakly prime, because it can be changed into another prime (226505461235411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113252730617700 + 113252730617701.

It is an arithmetic number, because the mean of its divisors is an integer number (113252730617701).

Almost surely, 2226505461235401 is an apocalyptic number.

It is an amenable number.

226505461235401 is a deficient number, since it is larger than the sum of its proper divisors (1).

226505461235401 is an equidigital number, since it uses as much as digits as its factorization.

226505461235401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 226505461235401 in words is "two hundred twenty-six trillion, five hundred five billion, four hundred sixty-one million, two hundred thirty-five thousand, four hundred one".