Base | Representation |
---|---|
bin | 1100111111000000100… |
… | …0100111101010010100 |
3 | 210022210021112222222111 |
4 | 3033300020213222110 |
5 | 12123322430423130 |
6 | 250251121440404 |
7 | 22054635523210 |
oct | 3176010475224 |
9 | 708707488874 |
10 | 223072123540 |
11 | 866714420a2 |
12 | 372964a0104 |
13 | 18060311596 |
14 | ab223c5940 |
15 | 5c08c7e02a |
hex | 33f0227a94 |
223072123540 has 144 divisors (see below), whose sum is σ = 593447484672. Its totient is φ = 68852957184.
The previous prime is 223072123531. The next prime is 223072123567. The reversal of 223072123540 is 45321270322.
It is a super-3 number, since 3×2230721235403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
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, 810724 + ... + 1050436.
It is an arithmetic number, because the mean of its divisors is an integer number (4121163088).
Almost surely, 2223072123540 is an apocalyptic number.
223072123540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223072123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296723742336).
223072123540 is an abundant number, since it is smaller than the sum of its proper divisors (370375361132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223072123540 is a wasteful number, since it uses less digits than its factorization.
223072123540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239786 (or 239767 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 31.
Adding to 223072123540 its reverse (45321270322), we get a palindrome (268393393862).
The spelling of 223072123540 in words is "two hundred twenty-three billion, seventy-two million, one hundred twenty-three thousand, five hundred forty".
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