Base | Representation |
---|---|
bin | 10100110011000010… |
… | …110100011000001010 |
3 | 2010122022010011201220 |
4 | 110303002310120022 |
5 | 331213242311242 |
6 | 14131523222510 |
7 | 1420250116125 |
oct | 246302643012 |
9 | 63568104656 |
10 | 22331213322 |
11 | 951a42a100 |
12 | 43b2817a36 |
13 | 214b65b0c2 |
14 | 111bb5b3bc |
15 | 8aa755bec |
hex | 5330b460a |
22331213322 has 96 divisors (see below), whose sum is σ = 50923942272. Its totient is φ = 6518160000.
The previous prime is 22331213293. The next prime is 22331213327.
22331213322 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22331213292 and 22331213301.
It is not an unprimeable number, because it can be changed into a prime (22331213327) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708947 + ... + 2717177.
It is an arithmetic number, because the mean of its divisors is an integer number (530457732).
Almost surely, 222331213322 is an apocalyptic number.
22331213322 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 22331213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461971136).
22331213322 is an abundant number, since it is smaller than the sum of its proper divisors (28592728950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22331213322 is a wasteful number, since it uses less digits than its factorization.
22331213322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8396 (or 8385 counting only the distinct ones).
The product of its digits is 2592, while the sum is 24.
The spelling of 22331213322 in words is "twenty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-two".
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