| Base | Representation |
|---|---|
| bin | 1001110001110… |
| … | …01000000000000 |
| 3 | 12201100011120200 |
| 4 | 10320321000000 |
| 5 | 131444204100 |
| 6 | 12050005200 |
| 7 | 2014115235 |
| oct | 470710000 |
| 9 | 181304520 |
| 10 | 82022400 |
| 11 | 42332709 |
| 12 | 23576800 |
| 13 | 13cbaa85 |
| 14 | ac7178c |
| 15 | 7302e00 |
| hex | 4e39000 |
82022400 has 234 divisors, whose sum is σ = 297087570. Its totient is φ = 21626880.
The previous prime is 82022387. The next prime is 82022401. The reversal of 82022400 is 422028.
It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 81432576 = 768^2 + 9024^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (82022401) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921556 + ... + 921644.
It is an arithmetic number, because the mean of its divisors is an integer number (1269605).
Almost surely, 282022400 is an apocalyptic number.
82022400 is a gapful number since it is divisible by the number (80) 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 82022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148543785).
82022400 is an abundant number, since it is smaller than the sum of its proper divisors (215065170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82022400 is a wasteful number, since it uses less digits than its factorization.
82022400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 129 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 82022400 is about 9056.6218867743. The cubic root of 82022400 is about 434.4877044815.
82022400 divided by its product of nonzero digits (256) gives a triangular number (320400 = T800).
Adding to 82022400 its reverse (422028), we get a palindrome (82444428).
It can be divided in two parts, 820 and 22400, that added together give a triangular number (23220 = T215).
The spelling of 82022400 in words is "eighty-two million, twenty-two thousand, four hundred".
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