Base | Representation |
---|---|
bin | 10100110010011101… |
… | …011011100011100010 |
3 | 2010121121200020021220 |
4 | 110302131123203202 |
5 | 331203240143242 |
6 | 14130533155510 |
7 | 1420100605566 |
oct | 246235334342 |
9 | 63547606256 |
10 | 22321412322 |
11 | 9514945500 |
12 | 43ab48bb96 |
13 | 2149608cb1 |
14 | 111a7296a6 |
15 | 8a996bbec |
hex | 53275b8e2 |
22321412322 has 48 divisors (see below), whose sum is σ = 49089895680. Its totient is φ = 6761351520.
The previous prime is 22321412297. The next prime is 22321412327.
22321412322 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×223214123223 (a number of 32 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22321412292 and 22321412301.
It is not an unprimeable number, because it can be changed into a prime (22321412327) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514063 + ... + 2522925.
It is an arithmetic number, because the mean of its divisors is an integer number (1022706160).
Almost surely, 222321412322 is an apocalyptic number.
22321412322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22321412322 is an abundant number, since it is smaller than the sum of its proper divisors (26768483358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321412322 is a wasteful number, since it uses less digits than its factorization.
22321412322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12359 (or 12348 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The spelling of 22321412322 in words is "twenty-two billion, three hundred twenty-one million, four hundred twelve thousand, three hundred twenty-two".
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