Base | Representation |
---|---|
bin | 10100100110101000… |
… | …101000000010010000 |
3 | 2010002210100212210010 |
4 | 110212220220002100 |
5 | 330301443123212 |
6 | 14055125034520 |
7 | 1412141366562 |
oct | 244650500220 |
9 | 63083325703 |
10 | 22123020432 |
11 | 9422960767 |
12 | 4354b55a40 |
13 | 2117495946 |
14 | 10dc245332 |
15 | 89732e03c |
hex | 526a28090 |
22123020432 has 80 divisors (see below), whose sum is σ = 58226184000. Its totient is φ = 7236083712.
The previous prime is 22123020401. The next prime is 22123020433. The reversal of 22123020432 is 23402032122.
It is a junction number, because it is equal to n+sod(n) for n = 22123020399 and 22123020408.
It is not an unprimeable number, because it can be changed into a prime (22123020433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604544 + ... + 1618272.
It is an arithmetic number, because the mean of its divisors is an integer number (727827300).
Almost surely, 222123020432 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 22123020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113092000).
22123020432 is an abundant number, since it is smaller than the sum of its proper divisors (36103163568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22123020432 is a wasteful number, since it uses less digits than its factorization.
22123020432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14368 (or 14362 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
Adding to 22123020432 its reverse (23402032122), we get a palindrome (45525052554).
The spelling of 22123020432 in words is "twenty-two billion, one hundred twenty-three million, twenty thousand, four hundred thirty-two".
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