Base | Representation |
---|---|
bin | 110000000000000000010010… |
… | …1111011000101100011100000 |
3 | 2001100221011210222021202222010 |
4 | 1200000000211323011203200 |
5 | 420320014412413442344 |
6 | 4053550004314512520 |
7 | 154634614150513005 |
oct | 14000004573054340 |
9 | 2040834728252863 |
10 | 422213101312224 |
11 | 112591630688482 |
12 | 3b42b889435740 |
13 | 151786a8769871 |
14 | 763931a4158ac |
15 | 33c2ae96cb8b9 |
hex | 1800025ec58e0 |
422213101312224 has 96 divisors (see below), whose sum is σ = 1173522781702656. Its totient is φ = 132456899082240.
The previous prime is 422213101312199. The next prime is 422213101312231.
422213101312224 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 422213101312191 and 422213101312200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101872809 + ... + 105936279.
It is an arithmetic number, because the mean of its divisors is an integer number (12224195642736).
Almost surely, 2422213101312224 is an apocalyptic number.
It is an amenable number.
422213101312224 is an abundant number, since it is smaller than the sum of its proper divisors (751309680390432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422213101312224 is a wasteful number, since it uses less digits than its factorization.
422213101312224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4127168 (or 4127160 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 30.
It can be divided in two parts, 42221310 and 1312224, that added together give a palindrome (43533534).
The spelling of 422213101312224 in words is "four hundred twenty-two trillion, two hundred thirteen billion, one hundred one million, three hundred twelve thousand, two hundred twenty-four".
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