| Base | Representation |
|---|---|
| bin | 1001111010101… |
| … | …01101000000000 |
| 3 | 12210112101210100 |
| 4 | 10331111220000 |
| 5 | 132244010344 |
| 6 | 12131002400 |
| 7 | 2030042160 |
| oct | 475255000 |
| 9 | 183471710 |
| 10 | 83188224 |
| 11 | 42a595a9 |
| 12 | 23a39400 |
| 13 | 14308602 |
| 14 | b0965a0 |
| 15 | 7483569 |
| hex | 4f55a00 |
83188224 has 120 divisors (see below), whose sum is σ = 274491360. Its totient is φ = 23758848.
The previous prime is 83188219. The next prime is 83188229. The reversal of 83188224 is 42288138.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (83188219) and next prime (83188229).
It is a super-2 number, since 2×831882242 = 13840561224548352, which contains 22 as substring.
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 (83188229) 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 11 ways as a sum of consecutive naturals, for example, 30967 + ... + 33545.
It is an arithmetic number, because the mean of its divisors is an integer number (2287428).
Almost surely, 283188224 is an apocalyptic number.
83188224 is a gapful number since it is divisible by the number (84) 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 83188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137245680).
83188224 is an abundant number, since it is smaller than the sum of its proper divisors (191303136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83188224 is a wasteful number, since it uses less digits than its factorization.
83188224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2610 (or 2591 counting only the distinct ones).
The product of its digits is 24576, while the sum is 36.
The square root of 83188224 is about 9120.7578632480. The cubic root of 83188224 is about 436.5365557100.
The spelling of 83188224 in words is "eighty-three million, one hundred eighty-eight thousand, two hundred twenty-four".
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