| Base | Representation |
|---|---|
| bin | 11110111000101011011… |
| … | …010111000101010101100 |
| 3 | 21111220101122122210012000 |
| 4 | 132320223122320222230 |
| 5 | 234233230212443424 |
| 6 | 4303011520412300 |
| 7 | 306225045662463 |
| oct | 36705332705254 |
| 9 | 7456348583160 |
| 10 | 2122442312364 |
| 11 | 749139398380 |
| 12 | 2a3415777090 |
| 13 | 1251b773058a |
| 14 | 74a2630b9da |
| 15 | 3a3225b63c9 |
| hex | 1ee2b6b8aac |
2122442312364 has 192 divisors, whose sum is σ = 6198195548160. Its totient is φ = 622247616000.
The previous prime is 2122442312329. The next prime is 2122442312369. The reversal of 2122442312364 is 4632132442212.
2122442312364 is a `hidden beast` number, since 2 + 1 + 22 + 44 + 231 + 2 + 364 = 666.
It is a super-2 number, since 2×21224423123642 (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2122442312369) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215843992 + ... + 215853824.
It is an arithmetic number, because the mean of its divisors is an integer number (32282268480).
Almost surely, 22122442312364 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 2122442312364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099097774080).
2122442312364 is an abundant number, since it is smaller than the sum of its proper divisors (4075753235796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122442312364 is a wasteful number, since it uses less digits than its factorization.
2122442312364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15749 (or 15741 counting only the distinct ones).
The product of its digits is 110592, while the sum is 36.
Adding to 2122442312364 its reverse (4632132442212), we get a palindrome (6754574754576).
The spelling of 2122442312364 in words is "two trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred twelve thousand, three hundred sixty-four".
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