| Base | Representation |
|---|---|
| bin | 1111101001011010… |
| … | …0101100101100000 |
| 3 | 101211201110112200100 |
| 4 | 3322112211211200 |
| 5 | 32100224200440 |
| 6 | 1532441222400 |
| 7 | 206041216200 |
| oct | 37226454540 |
| 9 | 11751415610 |
| 10 | 4200225120 |
| 11 | 1865a10333 |
| 12 | 992791a00 |
| 13 | 51c257310 |
| 14 | 2bbb94400 |
| 15 | 198b26230 |
| hex | fa5a5960 |
4200225120 has 864 divisors, whose sum is σ = 18979440480. Its totient is φ = 836075520.
The previous prime is 4200225053. The next prime is 4200225131. The reversal of 4200225120 is 215220024.
4200225120 is a `hidden beast` number, since 420 + 0 + 225 + 1 + 20 = 666.
4200225120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 4200225093 and 4200225102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17428200 + ... + 17428440.
It is an arithmetic number, because the mean of its divisors is an integer number (21966945).
Almost surely, 24200225120 is an apocalyptic number.
4200225120 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 4200225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489720240).
4200225120 is an abundant number, since it is smaller than the sum of its proper divisors (14779215360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4200225120 is a wasteful number, since it uses less digits than its factorization.
4200225120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 308 (or 290 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 4200225120 is about 64809.1437993128. The cubic root of 4200225120 is about 1613.4574721013.
Adding to 4200225120 its reverse (215220024), we get a palindrome (4415445144).
The spelling of 4200225120 in words is "four billion, two hundred million, two hundred twenty-five thousand, one hundred twenty".
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