Base | Representation |
---|---|
bin | 1001000001101000… |
… | …1000111010010000 |
3 | 20020211212112111000 |
4 | 2100122020322100 |
5 | 14430212140334 |
6 | 1040224222000 |
7 | 114016134210 |
oct | 22032107220 |
9 | 6224775430 |
10 | 2422771344 |
11 | 1033655a74 |
12 | 57746a900 |
13 | 2c7c2c616 |
14 | 18daaa240 |
15 | e2a73299 |
hex | 90688e90 |
2422771344 has 160 divisors (see below), whose sum is σ = 8141978880. Its totient is φ = 675302400.
The previous prime is 2422771327. The next prime is 2422771349. The reversal of 2422771344 is 4431772242.
2422771344 is a `hidden beast` number, since 2 + 42 + 277 + 1 + 344 = 666.
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 = 2422771299 and 2422771308.
It is not an unprimeable number, because it can be changed into a prime (2422771349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114214 + ... + 133754.
It is an arithmetic number, because the mean of its divisors is an integer number (50887368).
Almost surely, 22422771344 is an apocalyptic number.
2422771344 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 2422771344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070989440).
2422771344 is an abundant number, since it is smaller than the sum of its proper divisors (5719207536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2422771344 is a wasteful number, since it uses less digits than its factorization.
2422771344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19606 (or 19594 counting only the distinct ones).
The product of its digits is 75264, while the sum is 36.
The square root of 2422771344 is about 49221.6552342564. The cubic root of 2422771344 is about 1343.0869915210.
The spelling of 2422771344 in words is "two billion, four hundred twenty-two million, seven hundred seventy-one thousand, three hundred forty-four".
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