| Base | Representation |
|---|---|
| bin | 10110000101000… |
| … | …10011101100000 |
| 3 | 110220111212222000 |
| 4 | 23002202131200 |
| 5 | 334403333231 |
| 6 | 30213444000 |
| 7 | 4406204613 |
| oct | 1302423540 |
| 9 | 426455860 |
| 10 | 185214816 |
| 11 | 956046a6 |
| 12 | 52040600 |
| 13 | 2c4ab687 |
| 14 | 1a85417a |
| 15 | 113d86e6 |
| hex | b0a2760 |
185214816 has 72 divisors (see below), whose sum is σ = 541379160. Its totient is φ = 61604928.
The previous prime is 185214787. The next prime is 185214817. The reversal of 185214816 is 618412581.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (185214817) 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, 399801 + ... + 400263.
It is an arithmetic number, because the mean of its divisors is an integer number (7519155).
Almost surely, 2185214816 is an apocalyptic number.
185214816 is a gapful number since it is divisible by the number (16) 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 185214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270689580).
185214816 is an abundant number, since it is smaller than the sum of its proper divisors (356164344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
185214816 is an frugal number, since it uses more digits than its factorization.
185214816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 945 (or 468 counting only the distinct ones).
The product of its digits is 15360, while the sum is 36.
The square root of 185214816 is about 13609.3650109033. The cubic root of 185214816 is about 570.0223813926.
The spelling of 185214816 in words is "one hundred eighty-five million, two hundred fourteen thousand, eight hundred sixteen".
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