Base | Representation |
---|---|
bin | 1100111111010011001… |
… | …0100001100100000000 |
3 | 210022222201111120201100 |
4 | 3033310302201210000 |
5 | 12124002423424342 |
6 | 250302551334400 |
7 | 22056604360260 |
oct | 3176462414400 |
9 | 708881446640 |
10 | 223150217472 |
11 | 86701531236 |
12 | 372b8681400 |
13 | 18073555200 |
14 | ab2c9137a0 |
15 | 5c10a57e4c |
hex | 33f4ca1900 |
223150217472 has 1296 divisors, whose sum is σ = 871391539200. Its totient is φ = 53568552960.
The previous prime is 223150217467. The next prime is 223150217501. The reversal of 223150217472 is 274712051322.
223150217472 is a `hidden beast` number, since 2 + 23 + 150 + 2 + 17 + 472 = 666.
It is a super-3 number, since 3×2231502174723 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1605397179 + ... + 1605397317.
Almost surely, 2223150217472 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 223150217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435695769600).
223150217472 is an abundant number, since it is smaller than the sum of its proper divisors (648241321728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223150217472 is a wasteful number, since it uses less digits than its factorization.
223150217472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 244 (or 214 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
Adding to 223150217472 its reverse (274712051322), we get a palindrome (497862268794).
The spelling of 223150217472 in words is "two hundred twenty-three billion, one hundred fifty million, two hundred seventeen thousand, four hundred seventy-two".
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