| Base | Representation |
|---|---|
| bin | 1010011011101101000010… |
| … | …00011000011110111100000 |
| 3 | 10000020020121221120001111100 |
| 4 | 11031312201003003313200 |
| 5 | 11001340431244340414 |
| 6 | 120443244312514400 |
| 7 | 4555341114435012 |
| oct | 515664103036740 |
| 9 | 100206557501440 |
| 10 | 22942122261984 |
| 11 | 7345776a0a582 |
| 12 | 26a64063aba00 |
| 13 | ca5581c6a483 |
| 14 | 5945944a41b2 |
| 15 | 29bb9d33a609 |
| hex | 14dda10c3de0 |
22942122261984 has 288 divisors, whose sum is σ = 72173656848384. Its totient is φ = 6887591377920.
The previous prime is 22942122261983. The next prime is 22942122261991. The reversal of 22942122261984 is 48916222124922.
It is a happy number.
22942122261984 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 2 + 12 + 2 + 2 + 619 + 8 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22942122261984.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22942122261983) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6087927 + ... + 9107529.
It is an arithmetic number, because the mean of its divisors is an integer number (250602975168).
Almost surely, 222942122261984 is an apocalyptic number.
22942122261984 is a gapful number since it is divisible by the number (24) 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 22942122261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086828424192).
22942122261984 is an abundant number, since it is smaller than the sum of its proper divisors (49231534586400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22942122261984 is a wasteful number, since it uses less digits than its factorization.
22942122261984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3019710 (or 3019699 counting only the distinct ones).
The product of its digits is 3981312, while the sum is 54.
The spelling of 22942122261984 in words is "twenty-two trillion, nine hundred forty-two billion, one hundred twenty-two million, two hundred sixty-one thousand, nine hundred eighty-four".
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