Base | Representation |
---|---|
bin | 1100111111100100110… |
… | …0111001000000100000 |
3 | 210100011212210012221112 |
4 | 3033321030321000200 |
5 | 12124130401104422 |
6 | 250314154042452 |
7 | 22061463501011 |
oct | 3177114710040 |
9 | 710155705845 |
10 | 223224238112 |
11 | 8673a299017 |
12 | 37319419428 |
13 | 180859a0ac5 |
14 | ab386a1008 |
15 | 5c172c9ee2 |
hex | 33f9339020 |
223224238112 has 54 divisors (see below), whose sum is σ = 466939763703. Its totient is φ = 105046700288.
The previous prime is 223224238103. The next prime is 223224238141. The reversal of 223224238112 is 211832422322.
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.
It can be written as a sum of positive squares in 5 ways, for example, as 33271219216 + 189953018896 = 182404^2 + 435836^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334084.
It is a super-3 number, since 3×2232242381123 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13130837528 + ... + 13130837544.
Almost surely, 2223224238112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223224238112
223224238112 is an abundant number, since it is smaller than the sum of its proper divisors (243715525591).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223224238112 is an frugal number, since it uses more digits than its factorization.
223224238112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 19 counting only the distinct ones).
The product of its digits is 18432, while the sum is 32.
Multiplying 223224238112 by its sum of digits (32), we get a square (7143175619584 = 26726722).
223224238112 divided by its sum of digits (32) gives a 8-th power (6975757441 = 178).
The spelling of 223224238112 in words is "two hundred twenty-three billion, two hundred twenty-four million, two hundred thirty-eight thousand, one hundred twelve".
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