Base | Representation |
---|---|
bin | 11010100111011… |
… | …01101011000000 |
3 | 120120010101002010 |
4 | 31103231223000 |
5 | 424124142431 |
6 | 34053252520 |
7 | 5350530441 |
oct | 1523555300 |
9 | 516111063 |
10 | 223271616 |
11 | 1050382a7 |
12 | 62934140 |
13 | 373448a9 |
14 | 2191d2c8 |
15 | 14904846 |
hex | d4edac0 |
223271616 has 112 divisors (see below), whose sum is σ = 619195104. Its totient is φ = 70926336.
The previous prime is 223271611. The next prime is 223271647. The reversal of 223271616 is 616172322.
223271616 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-3 number, since 3×2232716163 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (223271611) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376216 + ... + 376808.
Almost surely, 2223271616 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 223271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309597552).
223271616 is an abundant number, since it is smaller than the sum of its proper divisors (395923488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223271616 is a wasteful number, since it uses less digits than its factorization.
223271616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 698 (or 688 counting only the distinct ones).
The product of its digits is 6048, while the sum is 30.
The square root of 223271616 is about 14942.2761318348. The cubic root of 223271616 is about 606.6588049270.
The spelling of 223271616 in words is "two hundred twenty-three million, two hundred seventy-one thousand, six hundred sixteen".
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