Base | Representation |
---|---|
bin | 1010000110110000010000… |
… | …10100010001100110101110 |
3 | 2220200102122022120210020022 |
4 | 11003120020110101212232 |
5 | 10403042232340302342 |
6 | 115132441150322142 |
7 | 4452336214053440 |
oct | 503301024214656 |
9 | 86612568523208 |
10 | 22222300322222 |
11 | 709847421a190 |
12 | 25aa9b74b9352 |
13 | c52727c9a8c0 |
14 | 56b7ca7c8490 |
15 | 2880bde8a9d2 |
hex | 1436085119ae |
22222300322222 has 32 divisors (see below), whose sum is σ = 44755402051584. Its totient is φ = 7992036079200.
The previous prime is 22222300322197. The next prime is 22222300322227.
22222300322222 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×222223003222222 (a number of 27 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 22222300322191 and 22222300322200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22222300322227) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550023054 + ... + 5550027057.
It is an arithmetic number, because the mean of its divisors is an integer number (1398606314112).
Almost surely, 222222300322222 is an apocalyptic number.
22222300322222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22222300322222 is an abundant number, since it is smaller than the sum of its proper divisors (22533101729362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22222300322222 is a wasteful number, since it uses less digits than its factorization.
22222300322222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11100050144.
The product of its (nonzero) digits is 9216, while the sum is 26.
It can be divided in two parts, 22222300 and 322222, that added together give a palindrome (22544522).
The spelling of 22222300322222 in words is "twenty-two trillion, two hundred twenty-two billion, three hundred million, three hundred twenty-two thousand, two hundred twenty-two".
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