| Base | Representation |
|---|---|
| bin | 110000000000000100101000… |
| … | …0011010110111110100010000 |
| 3 | 2001100222001211022100120101100 |
| 4 | 1200000021100122313310100 |
| 5 | 420320142440440102344 |
| 6 | 4053554143400304400 |
| 7 | 154635363532113414 |
| oct | 14000112032676420 |
| 9 | 2040861738316340 |
| 10 | 422222404222224 |
| 11 | 112595574960451 |
| 12 | 3b431644a72100 |
| 13 | 1517952bbc6338 |
| 14 | 763995db5ad44 |
| 15 | 33c2e9128e569 |
| hex | 18002506b7d10 |
422222404222224 has 240 divisors, whose sum is σ = 1267316698705200. Its totient is φ = 130758755549184.
The previous prime is 422222404222193. The next prime is 422222404222243.
422222404222224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 2 + 4 + 0 + 422 + 2 + 224 = 666.
422222404222224 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 8 ways, for example, as 7512313539600 + 414710090682624 = 2740860^2 + 20364432^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68836632 + ... + 74718984.
It is an arithmetic number, because the mean of its divisors is an integer number (5280486244605).
Almost surely, 2422222404222224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422222404222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633658349352600).
422222404222224 is an abundant number, since it is smaller than the sum of its proper divisors (845094294482976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422222404222224 is a wasteful number, since it uses less digits than its factorization.
422222404222224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5882762 (or 5882753 counting only the distinct ones).
The product of its (nonzero) digits is 262144, while the sum is 36.
It can be divided in two parts, 42222240 and 4222224, that added together give a palindrome (46444464).
The spelling of 422222404222224 in words is "four hundred twenty-two trillion, two hundred twenty-two billion, four hundred four million, two hundred twenty-two thousand, two hundred twenty-four".
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