Base | Representation |
---|---|
bin | 1101000000011010001… |
… | …1110110010000100000 |
3 | 210100202111111210100000 |
4 | 3100012203312100200 |
5 | 12130110240004333 |
6 | 250352321500000 |
7 | 22100154502341 |
oct | 3200643662040 |
9 | 710674453300 |
10 | 223448359968 |
11 | 86844857099 |
12 | 373804a1600 |
13 | 180c02526a2 |
14 | ab5a3620c8 |
15 | 5c2bceb713 |
hex | 34068f6420 |
223448359968 has 288 divisors, whose sum is σ = 679578996096. Its totient is φ = 72169740288.
The previous prime is 223448359957. The next prime is 223448359973. The reversal of 223448359968 is 869953844322.
It is a happy number.
223448359968 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 483 + 5 + 99 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×2234483599682 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75666780 + ... + 75669732.
It is an arithmetic number, because the mean of its divisors is an integer number (2359649292).
Almost surely, 2223448359968 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 223448359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339789498048).
223448359968 is an abundant number, since it is smaller than the sum of its proper divisors (456130636128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223448359968 is a wasteful number, since it uses less digits than its factorization.
223448359968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3278 (or 3258 counting only the distinct ones).
The product of its digits is 89579520, while the sum is 63.
The spelling of 223448359968 in words is "two hundred twenty-three billion, four hundred forty-eight million, three hundred fifty-nine thousand, nine hundred sixty-eight".
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