Base | Representation |
---|---|
bin | 1010001001111100110101… |
… | …01011001111110010000010 |
3 | 2221001221010112111111110000 |
4 | 11010332122223033302002 |
5 | 10411342200240000002 |
6 | 115255123333420430 |
7 | 4463304666653604 |
oct | 504763253176202 |
9 | 87057115444400 |
10 | 22332130000002 |
11 | 7130004207729 |
12 | 260814919a716 |
13 | c5cbac101914 |
14 | 572c49113174 |
15 | 28ad9b13c61c |
hex | 144f9aacfc82 |
22332130000002 has 160 divisors (see below), whose sum is σ = 52912281121920. Its totient is φ = 7020428163840.
The previous prime is 22332129999973. The next prime is 22332130000039. The reversal of 22332130000002 is 20000003123322.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 22332130000002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 945343563 + ... + 945367185.
It is an arithmetic number, because the mean of its divisors is an integer number (330701757012).
Almost surely, 222332130000002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22332130000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456140560960).
22332130000002 is an abundant number, since it is smaller than the sum of its proper divisors (30580151121918).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22332130000002 is a wasteful number, since it uses less digits than its factorization.
22332130000002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25030 (or 25021 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 22332130000002 its reverse (20000003123322), we get a palindrome (42332133123324).
The spelling of 22332130000002 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred thirty million, two", and thus it is an aban number.
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