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226450536273 = 361323894749
BaseRepresentation
bin1101001011100110000…
…0001111011101010001
3210122111201122011000000
43102321200033131101
512202232314130043
6252010244520213
722234440541053
oct3227140173521
9718451564000
10226450536273
1188045473635
1237a799b0069
131847b219680
14ad62d738d3
155d556702d3
hex34b980f751

226450536273 has 28 divisors (see below), whose sum is σ = 365637464500. Its totient is φ = 139354170336.

The previous prime is 226450536269. The next prime is 226450536281. The reversal of 226450536273 is 372635054622.

226450536273 is a `hidden beast` number, since 2 + 2 + 6 + 45 + 0 + 536 + 2 + 73 = 666.

226450536273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27402498369 + 199048037904 = 165537^2 + 446148^2 .

It is not a de Polignac number, because 226450536273 - 22 = 226450536269 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226450536773) 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 in 27 ways as a sum of consecutive naturals, for example, 11937898 + ... + 11956851.

It is an arithmetic number, because the mean of its divisors is an integer number (13058480875).

Almost surely, 2226450536273 is an apocalyptic number.

It is an amenable number.

226450536273 is a deficient number, since it is larger than the sum of its proper divisors (139186928227).

226450536273 is an equidigital number, since it uses as much as digits as its factorization.

226450536273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894780 (or 23894765 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 226450536273 in words is "two hundred twenty-six billion, four hundred fifty million, five hundred thirty-six thousand, two hundred seventy-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 23894749 71684247 215052741 310631737 645158223 931895211 1935474669 2795685633 5806424007 8387056899 17419272021 25161170697 75483512091 226450536273