Base | Representation |
---|---|
bin | 100000001011010000110… |
… | …0101100011000011000100 |
3 | 120122202112222022001121100 |
4 | 1000112201211203003010 |
5 | 1034423212433302434 |
6 | 13223313454020100 |
7 | 634332016350132 |
oct | 100264145430304 |
9 | 16582488261540 |
10 | 4422232322244 |
11 | 1455504949800 |
12 | 5b50847a7630 |
13 | 26102644c029 |
14 | 11407407a752 |
15 | 7a0745c3699 |
hex | 405a19630c4 |
4422232322244 has 108 divisors (see below), whose sum is σ = 12288492756540. Its totient is φ = 1339910246400.
The previous prime is 4422232322219. The next prime is 4422232322293.
4422232322244 is a `hidden beast` number, since 4 + 42 + 22 + 32 + 322 + 244 = 666.
4422232322244 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 4403022362244 + 19209960000 = 2098338^2 + 138600^2 .
It is a super-2 number, since 2×44222323222442 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 4422232322199 and 4422232322208.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39326452 + ... + 39438740.
Almost surely, 24422232322244 is an apocalyptic number.
4422232322244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4422232322244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144246378270).
4422232322244 is an abundant number, since it is smaller than the sum of its proper divisors (7866260434296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4422232322244 is a wasteful number, since it uses less digits than its factorization.
4422232322244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121362 (or 121346 counting only the distinct ones).
The product of its digits is 294912, while the sum is 36.
The spelling of 4422232322244 in words is "four trillion, four hundred twenty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •