| Base | Representation |
|---|---|
| bin | 1001110011010… |
| … | …10011000001000 |
| 3 | 12201201110000100 |
| 4 | 10321222120020 |
| 5 | 132022142043 |
| 6 | 12054205400 |
| 7 | 2015620002 |
| oct | 471523010 |
| 9 | 181643010 |
| 10 | 82224648 |
| 11 | 42460660 |
| 12 | 23653860 |
| 13 | 1405bb4c |
| 14 | acc5372 |
| 15 | 7342cd3 |
| hex | 4e6a608 |
82224648 has 192 divisors, whose sum is σ = 266872320. Its totient is φ = 22579200.
The previous prime is 82224641. The next prime is 82224671. The reversal of 82224648 is 84642228.
It is a happy number.
82224648 is a `hidden beast` number, since 8 + 2 + 2 + 2 + 4 + 648 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (82224641) 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 47 ways as a sum of consecutive naturals, for example, 417286 + ... + 417482.
It is an arithmetic number, because the mean of its divisors is an integer number (1389960).
Almost surely, 282224648 is an apocalyptic number.
82224648 is a gapful number since it is divisible by the number (88) 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 82224648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).
82224648 is an abundant number, since it is smaller than the sum of its proper divisors (184647672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82224648 is a wasteful number, since it uses less digits than its factorization.
82224648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 268 (or 261 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The square root of 82224648 is about 9067.7807648840. The cubic root of 82224648 is about 434.8445262856.
The spelling of 82224648 in words is "eighty-two million, two hundred twenty-four thousand, six hundred forty-eight".
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