| Base | Representation |
|---|---|
| bin | 111100100110000… |
| … | …0110001010101000 |
| 3 | 12020200211222102200 |
| 4 | 1321030012022220 |
| 5 | 13131000322440 |
| 6 | 533430500200 |
| 7 | 101246014650 |
| oct | 17114061250 |
| 9 | 5220758380 |
| 10 | 2033214120 |
| 11 | 953772953 |
| 12 | 488b04660 |
| 13 | 2653062a2 |
| 14 | 154063360 |
| 15 | bd773c30 |
| hex | 793062a8 |
2033214120 has 192 divisors, whose sum is σ = 7612600320. Its totient is φ = 461002752.
The previous prime is 2033214109. The next prime is 2033214137. The reversal of 2033214120 is 214123302.
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 = 2033214093 and 2033214102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316864 + ... + 323216.
It is an arithmetic number, because the mean of its divisors is an integer number (39648960).
Almost surely, 22033214120 is an apocalyptic number.
2033214120 is a gapful number since it is divisible by the number (20) 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 2033214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806300160).
2033214120 is an abundant number, since it is smaller than the sum of its proper divisors (5579386200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2033214120 is a wasteful number, since it uses less digits than its factorization.
2033214120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6504 (or 6497 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2033214120 is about 45091.1756333764. The cubic root of 2033214120 is about 1266.8573215634.
Adding to 2033214120 its reverse (214123302), we get a palindrome (2247337422).
It can be divided in two parts, 2033 and 214120, that added together give a triangular number (216153 = T657).
The spelling of 2033214120 in words is "two billion, thirty-three million, two hundred fourteen thousand, one hundred twenty".
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