Base | Representation |
---|---|
bin | 10100011111011000… |
… | …011010111110011010 |
3 | 2002210022101110210200 |
4 | 110133120122332122 |
5 | 330024320111442 |
6 | 14035100523030 |
7 | 1406133144300 |
oct | 243730327632 |
9 | 62708343720 |
10 | 22001332122 |
11 | 93701a6510 |
12 | 4320250476 |
13 | 20c81ca423 |
14 | 10ca00a270 |
15 | 88b7e334c |
hex | 51f61af9a |
22001332122 has 144 divisors (see below), whose sum is σ = 61636285152. Its totient is φ = 5606677440.
The previous prime is 22001332079. The next prime is 22001332123. The reversal of 22001332122 is 22123310022.
22001332122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
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 = 22001332095 and 22001332104.
It is not an unprimeable number, because it can be changed into a prime (22001332123) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492813 + ... + 535599.
It is an arithmetic number, because the mean of its divisors is an integer number (428029758).
Almost surely, 222001332122 is an apocalyptic number.
22001332122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22001332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30818142576).
22001332122 is an abundant number, since it is smaller than the sum of its proper divisors (39634953030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001332122 is a wasteful number, since it uses less digits than its factorization.
22001332122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42873 (or 42863 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 22001332122 its reverse (22123310022), we get a palindrome (44124642144).
The spelling of 22001332122 in words is "twenty-two billion, one million, three hundred thirty-two thousand, one hundred twenty-two".
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