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227430634513437 = 348162934396913
BaseRepresentation
bin110011101101100011010010…
…001011100110010000011101
31002211021011012221212102210000
4303231203102023212100131
5214302210414413412222
62123412105141204513
765622215065513125
oct6355432213462035
91084234187772700
10227430634513437
1166514877095423
12216116b7400739
1399b98031926a4
1440239b6a93c85
151b45ed56d09ac
hexced8d22e641d

227430634513437 has 20 divisors (see below), whose sum is σ = 339746230868220. Its totient is φ = 151618561167744.

The previous prime is 227430634513409. The next prime is 227430634513441. The reversal of 227430634513437 is 734315436034722.

227430634513437 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 30 + 63 + 4 + 513 + 4 + 37 = 666.

227430634513437 is digitally balanced in base 2 and base 4, because in such bases 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 132025132667961 + 95405501845476 = 11490219^2 + 9767574^2 .

It is not a de Polignac number, because 227430634513437 - 26 = 227430634513373 is a prime.

It is a super-3 number, since 3×2274306345134373 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227430634513637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10586508 + ... + 23810405.

It is an arithmetic number, because the mean of its divisors is an integer number (16987311543411).

Almost surely, 2227430634513437 is an apocalyptic number.

227430634513437 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

227430634513437 is a deficient number, since it is larger than the sum of its proper divisors (112315596354783).

227430634513437 is an equidigital number, since it uses as much as digits as its factorization.

227430634513437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34478554 (or 34478545 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 54.

The spelling of 227430634513437 in words is "two hundred twenty-seven trillion, four hundred thirty billion, six hundred thirty-four million, five hundred thirteen thousand, four hundred thirty-seven".

Divisors: 1 3 9 27 81 81629 244887 734661 2203983 6611949 34396913 103190739 309572217 928716651 2786149953 2807785611277 8423356833831 25270070501493 75810211504479 227430634513437