| Base | Representation |
|---|---|
| bin | 1010000011101… |
| … | …00101111000000 |
| 3 | 12212202010221220 |
| 4 | 11001310233000 |
| 5 | 133044123344 |
| 6 | 12212115040 |
| 7 | 2043040560 |
| oct | 501645700 |
| 9 | 185663856 |
| 10 | 84364224 |
| 11 | 436920aa |
| 12 | 24305a80 |
| 13 | 1462a979 |
| 14 | b2c0da0 |
| 15 | 7616c19 |
| hex | 5074bc0 |
84364224 has 112 divisors (see below), whose sum is σ = 261494016. Its totient is φ = 23500800.
The previous prime is 84364223. The next prime is 84364249. The reversal of 84364224 is 42246348.
It is a Cunningham number, because it is equal to 91852-1.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×843642242 = 14234644582244352, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (84364223) 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 15 ways as a sum of consecutive naturals, for example, 54339 + ... + 55869.
It is an arithmetic number, because the mean of its divisors is an integer number (2334768).
Almost surely, 284364224 is an apocalyptic number.
84364224 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 84364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747008).
84364224 is an abundant number, since it is smaller than the sum of its proper divisors (177129792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84364224 is a wasteful number, since it uses less digits than its factorization.
84364224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1594 (or 1584 counting only the distinct ones).
The product of its digits is 36864, while the sum is 33.
The square root of 84364224 is about 9184.9999455634. Note that the first 4 decimals coincide. The cubic root of 84364224 is about 438.5839878095.
The spelling of 84364224 in words is "eighty-four million, three hundred sixty-four thousand, two hundred twenty-four".
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