| Base | Representation |
|---|---|
| bin | 100110101111100011… |
| … | …0110100000000000000 |
| 3 | 21221202100110220202111 |
| 4 | 1031133012310000000 |
| 5 | 2330343200000000 |
| 6 | 102115504425104 |
| 7 | 6003526221445 |
| oct | 1153706640000 |
| 9 | 257670426674 |
| 10 | 83200000000 |
| 11 | 3231525a487 |
| 12 | 1415b618194 |
| 13 | 7acc0a3640 |
| 14 | 4053b639cc |
| 15 | 226e3bbcba |
| hex | 135f1b4000 |
83200000000 has 270 divisors, whose sum is σ = 223993049378. Its totient is φ = 30720000000.
The previous prime is 83199999983. The next prime is 83200000007. The reversal of 83200000000 is 238.
It can be written as a sum of positive squares in 9 ways, for example, as 13537787904 + 69662212096 = 116352^2 + 263936^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a nialpdrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83200000007) 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, 6399999994 + ... + 6400000006.
Almost surely, 283200000000 is an apocalyptic number.
83200000000 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 83200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111996524689).
83200000000 is an abundant number, since it is smaller than the sum of its proper divisors (140793049378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83200000000 is an frugal number, since it uses more digits than its factorization.
83200000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 20 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Multiplying 83200000000 by its sum of digits (13), we get a square (1081600000000 = 10400002).
83200000000 divided by its sum of digits (13) gives a square (6400000000 = 800002).
Adding to 83200000000 its reverse (238), we get a palindrome (83200000238).
It can be divided in two parts, 8 and 3200000000, that multiplied together give a 8-th power (25600000000 = 208).
The spelling of 83200000000 in words is "eighty-three billion, two hundred million", and thus it is an aban number.
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