| Base | Representation |
|---|---|
| bin | 1101000011101000010… |
| … | …0011110101001101110 |
| 3 | 210102222201122022000000 |
| 4 | 3100322010132221232 |
| 5 | 12133343003131141 |
| 6 | 251014152245130 |
| 7 | 22130450142642 |
| oct | 3207204365156 |
| 9 | 712881568000 |
| 10 | 224312552046 |
| 11 | 87148651420 |
| 12 | 375819a07a6 |
| 13 | 181ca2bc64b |
| 14 | abdd03ac22 |
| 15 | 5c7cb035b6 |
| hex | 343a11ea6e |
224312552046 has 224 divisors, whose sum is σ = 561889440000. Its totient is φ = 66558983040.
The previous prime is 224312552033. The next prime is 224312552141. The reversal of 224312552046 is 640255213422.
224312552046 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 125 + 520 + 4 + 6 = 666.
224312552046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2243125520462 (a number of 24 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 224312552046.
It is a congruent number.
It is an unprimeable number.
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 111 ways as a sum of consecutive naturals, for example, 213834130 + ... + 213835178.
It is an arithmetic number, because the mean of its divisors is an integer number (2508435000).
Almost surely, 2224312552046 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 224312552046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280944720000).
224312552046 is an abundant number, since it is smaller than the sum of its proper divisors (337576887954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224312552046 is a wasteful number, since it uses less digits than its factorization.
224312552046 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
Adding to 224312552046 its reverse (640255213422), we get a palindrome (864567765468).
The spelling of 224312552046 in words is "two hundred twenty-four billion, three hundred twelve million, five hundred fifty-two thousand, forty-six".
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