Search a number
-
+
227429356231296 = 273541178339039
BaseRepresentation
bin110011101101100010000101…
…111111010101101010000000
31002211021000220212112222100000
4303231202011333111222000
5214302200310143400141
62123411334235200000
765622141314345052
oct6355420577255200
91084230825488300
10227429356231296
11665142805810aa
12216113bb2a6000
1399b965b3bca1b
1440238d4dc78d2
151b45e5d3805b6
hexced885fd5a80

227429356231296 has 192 divisors, whose sum is σ = 695244047097600. Its totient is φ = 73960765839360.

The previous prime is 227429356231261. The next prime is 227429356231313. The reversal of 227429356231296 is 692132653924722.

227429356231296 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 29 + 356 + 231 + 29 + 6 = 666.

227429356231296 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 is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2274293562312962 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87894256 + ... + 90444783.

It is an arithmetic number, because the mean of its divisors is an integer number (3621062745300).

Almost surely, 2227429356231296 is an apocalyptic number.

It is an amenable number.

227429356231296 is an abundant number, since it is smaller than the sum of its proper divisors (467814690866304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

227429356231296 is an equidigital number, since it uses as much as digits as its factorization.

227429356231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178339109 (or 178339085 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 227429356231296 in words is "two hundred twenty-seven trillion, four hundred twenty-nine billion, three hundred fifty-six million, two hundred thirty-one thousand, two hundred ninety-six".