| Base | Representation |
|---|---|
| bin | 1111110000000101… |
| … | …0101100000000000 |
| 3 | 101220200010020212000 |
| 4 | 3330001111200000 |
| 5 | 32124410134030 |
| 6 | 1535321104000 |
| 7 | 206531115615 |
| oct | 37401254000 |
| 9 | 11820106760 |
| 10 | 4228208640 |
| 11 | 187a793807 |
| 12 | 9a0028000 |
| 13 | 524ca4506 |
| 14 | 2c179a50c |
| 15 | 19b302860 |
| hex | fc055800 |
4228208640 has 384 divisors, whose sum is σ = 15437822400. Its totient is φ = 1097072640.
The previous prime is 4228208629. The next prime is 4228208641. The reversal of 4228208640 is 468028224.
It is a happy number.
4228208640 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 2 + 0 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4228208595 and 4228208604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4228208641) 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 31 ways as a sum of consecutive naturals, for example, 11335494 + ... + 11335866.
Almost surely, 24228208640 is an apocalyptic number.
4228208640 is a gapful number since it is divisible by the number (40) 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 4228208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718911200).
4228208640 is an abundant number, since it is smaller than the sum of its proper divisors (11209613760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4228208640 is a wasteful number, since it uses less digits than its factorization.
4228208640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 424 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 4228208640 is about 65024.6771618283. The cubic root of 4228208640 is about 1617.0327026544.
The spelling of 4228208640 in words is "four billion, two hundred twenty-eight million, two hundred eight thousand, six hundred forty".
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