| Base | Representation |
|---|---|
| bin | 11000101100001… |
| … | …000110010000000 |
| 3 | 1001212102201210200 |
| 4 | 120230020302000 |
| 5 | 1322020122423 |
| 6 | 105034125200 |
| 7 | 13156561440 |
| oct | 3054106200 |
| 9 | 1055381720 |
| 10 | 414223488 |
| 11 | 1a2900268 |
| 12 | b6880800 |
| 13 | 67a81673 |
| 14 | 3d028120 |
| 15 | 26572d43 |
| hex | 18b08c80 |
414223488 has 192 divisors, whose sum is σ = 1407045120. Its totient is φ = 114462720.
The previous prime is 414223487. The next prime is 414223499. The reversal of 414223488 is 884322414.
414223488 is a `hidden beast` number, since 414 + 2 + 234 + 8 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×4142234882 = 343162196021772288, 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 (414223487) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249156 + ... + 250812.
It is an arithmetic number, because the mean of its divisors is an integer number (7328360).
Almost surely, 2414223488 is an apocalyptic number.
414223488 is a gapful number since it is divisible by the number (48) 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 414223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703522560).
414223488 is an abundant number, since it is smaller than the sum of its proper divisors (992821632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414223488 is a wasteful number, since it uses less digits than its factorization.
414223488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1715 (or 1700 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The square root of 414223488 is about 20352.4811263885. The cubic root of 414223488 is about 745.4380787594.
The spelling of 414223488 in words is "four hundred fourteen million, two hundred twenty-three thousand, four hundred eighty-eight".
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