Base | Representation |
---|---|
bin | 1101000000000110011… |
… | …0101001000000000000 |
3 | 210100112201001010120000 |
4 | 3100001212221000000 |
5 | 12124422443043031 |
6 | 250340151320000 |
7 | 22065124632111 |
oct | 3200146510000 |
9 | 710481033500 |
10 | 223365206016 |
11 | 86801921317 |
12 | 37358680000 |
13 | 180a8c59874 |
14 | ab4d2b8208 |
15 | 5c248733e6 |
hex | 34019a9000 |
223365206016 has 130 divisors (see below), whose sum is σ = 667257551862. Its totient is φ = 74454958080.
The previous prime is 223365205967. The next prime is 223365206059. The reversal of 223365206016 is 610602563322.
223365206016 is a `hidden beast` number, since 2 + 23 + 3 + 6 + 5 + 20 + 601 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 223086182400 + 279023616 = 472320^2 + 16704^2 .
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 9 ways as a sum of consecutive naturals, for example, 4845 + ... + 668396.
Almost surely, 2223365206016 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 223365206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333628775931).
223365206016 is an abundant number, since it is smaller than the sum of its proper divisors (443892345846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223365206016 is an frugal number, since it uses more digits than its factorization.
223365206016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 673277 (or 673246 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 223365206016 its reverse (610602563322), we get a palindrome (833967769338).
The spelling of 223365206016 in words is "two hundred twenty-three billion, three hundred sixty-five million, two hundred six thousand, sixteen".
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