Base | Representation |
---|---|
bin | 10100110010100100… |
… | …101111111110111010 |
3 | 2010121202021201020010 |
4 | 110302210233332322 |
5 | 331204233043002 |
6 | 14131042242350 |
7 | 1420123116450 |
oct | 246244577672 |
9 | 63552251203 |
10 | 22323331002 |
11 | 9515a35a95 |
12 | 43b00563b6 |
13 | 2149b2b3cb |
14 | 111aaa89d0 |
15 | 8a9bea46c |
hex | 53292ffba |
22323331002 has 96 divisors (see below), whose sum is σ = 54019533312. Its totient is φ = 6023572128.
The previous prime is 22323330959. The next prime is 22323331003. The reversal of 22323331002 is 20013332322.
It is a super-3 number, since 3×223233310023 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 22323331002.
It is not an unprimeable number, because it can be changed into a prime (22323331003) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5259093 + ... + 5263335.
It is an arithmetic number, because the mean of its divisors is an integer number (562703472).
Almost surely, 222323331002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22323331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27009766656).
22323331002 is an abundant number, since it is smaller than the sum of its proper divisors (31696202310).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22323331002 is a wasteful number, since it uses less digits than its factorization.
22323331002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4640 (or 4621 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 21.
Adding to 22323331002 its reverse (20013332322), we get a palindrome (42336663324).
The spelling of 22323331002 in words is "twenty-two billion, three hundred twenty-three million, three hundred thirty-one thousand, two".
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