| Base | Representation |
|---|---|
| bin | 1110000110010110110… |
| … | …1111010101100100000 |
| 3 | 212011020001111220120000 |
| 4 | 3201211231322230200 |
| 5 | 12432034011014123 |
| 6 | 303135420020000 |
| 7 | 23333361005100 |
| oct | 3414555725440 |
| 9 | 764201456500 |
| 10 | 242224704288 |
| 11 | 937aa592526 |
| 12 | 3ab40691600 |
| 13 | 19ac32727b8 |
| 14 | ba1bd1b200 |
| 15 | 647a407b43 |
| hex | 3865b7ab20 |
242224704288 has 270 divisors, whose sum is σ = 829282927473. Its totient is φ = 69156944640.
The previous prime is 242224704283. The next prime is 242224704313. The reversal of 242224704288 is 882407422242.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
242224704288 is a `hidden beast` number, since 2 + 42 + 22 + 470 + 42 + 88 = 666.
242224704288 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 241721689104 + 503015184 = 491652^2 + 22428^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=348012.
It is not an unprimeable number, because it can be changed into a prime (242224704283) 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 44 ways as a sum of consecutive naturals, for example, 175397358 + ... + 175398738.
Almost surely, 2242224704288 is an apocalyptic number.
242224704288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 242224704288
242224704288 is an abundant number, since it is smaller than the sum of its proper divisors (587058223185).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242224704288 is an frugal number, since it uses more digits than its factorization.
242224704288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2798 (or 1393 counting only the distinct ones).
The product of its (nonzero) digits is 917504, while the sum is 45.
The spelling of 242224704288 in words is "two hundred forty-two billion, two hundred twenty-four million, seven hundred four thousand, two hundred eighty-eight".
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