Base | Representation |
---|---|
bin | 10100101011010110… |
… | …011100010110000000 |
3 | 2010022022020120110200 |
4 | 110223112130112000 |
5 | 330432221440112 |
6 | 14111032525200 |
7 | 1414122035142 |
oct | 245326342600 |
9 | 63268216420 |
10 | 22202140032 |
11 | 9463590466 |
12 | 4377550800 |
13 | 212a9a8387 |
14 | 110895cc92 |
15 | 89e25bcdc |
hex | 52b59c580 |
22202140032 has 96 divisors (see below), whose sum is σ = 63919830000. Its totient is φ = 7397139456.
The previous prime is 22202140007. The next prime is 22202140033. The reversal of 22202140032 is 23004120222.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×222021400322 (a number of 21 digits) contains 22 as substring.
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 = 22202139987 and 22202140014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22202140033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3578469 + ... + 3584667.
Almost surely, 222202140032 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 22202140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31959915000).
22202140032 is an abundant number, since it is smaller than the sum of its proper divisors (41717689968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22202140032 is a wasteful number, since it uses less digits than its factorization.
22202140032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9328 (or 9313 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 22202140032 its reverse (23004120222), we get a palindrome (45206260254).
The spelling of 22202140032 in words is "twenty-two billion, two hundred two million, one hundred forty thousand, thirty-two".
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