Base | Representation |
---|---|
bin | 10100110010111110… |
… | …111100111111101010 |
3 | 2010122020012200210000 |
4 | 110302332330333222 |
5 | 331213012400132 |
6 | 14131445403430 |
7 | 1420235366013 |
oct | 246276747752 |
9 | 63566180700 |
10 | 22330200042 |
11 | 95198a7887 |
12 | 43b2409576 |
13 | 214b394b27 |
14 | 111b97600a |
15 | 8aa60587c |
hex | 532fbcfea |
22330200042 has 60 divisors (see below), whose sum is σ = 51821387046. Its totient is φ = 7186687200.
The previous prime is 22330200041. The next prime is 22330200047. The reversal of 22330200042 is 24000203322.
It can be written as a sum of positive squares in 3 ways, for example, as 19432638801 + 2897561241 = 139401^2 + 53829^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22330199988 and 22330200024.
It is not an unprimeable number, because it can be changed into a prime (22330200041) by changing a digit.
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 29 ways as a sum of consecutive naturals, for example, 54292 + ... + 218192.
Almost surely, 222330200042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22330200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25910693523).
22330200042 is an abundant number, since it is smaller than the sum of its proper divisors (29491187004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22330200042 is a wasteful number, since it uses less digits than its factorization.
22330200042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163973 (or 163935 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
Adding to 22330200042 its reverse (24000203322), we get a palindrome (46330403364).
The spelling of 22330200042 in words is "twenty-two billion, three hundred thirty million, two hundred thousand, forty-two".
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