| Base | Representation |
|---|---|
| bin | 1000001100111111… |
| … | …1011101111000000 |
| 3 | 12200110102210100000 |
| 4 | 2003033323233000 |
| 5 | 14002202222003 |
| 6 | 1002300200000 |
| 7 | 105365424060 |
| oct | 20317735700 |
| 9 | 5613383300 |
| 10 | 2201992128 |
| 11 | a2aa70306 |
| 12 | 515539000 |
| 13 | 29127b32b |
| 14 | 16c6393a0 |
| 15 | cd4b21a3 |
| hex | 833fbbc0 |
2201992128 has 336 divisors, whose sum is σ = 7588788480. Its totient is φ = 620089344.
The previous prime is 2201992103. The next prime is 2201992129. The reversal of 2201992128 is 8212991022.
It is a tau number, because it is divible by the number of its divisors (336).
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 = 2201992092 and 2201992101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2201992129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12301543 + ... + 12301721.
It is an arithmetic number, because the mean of its divisors is an integer number (22585680).
Almost surely, 22201992128 is an apocalyptic number.
2201992128 is a gapful number since it is divisible by the number (28) 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 2201992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794394240).
2201992128 is an abundant number, since it is smaller than the sum of its proper divisors (5386796352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201992128 is a wasteful number, since it uses less digits than its factorization.
2201992128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 326 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 2201992128 is about 46925.3889488409. The cubic root of 2201992128 is about 1300.9838957887.
The spelling of 2201992128 in words is "two billion, two hundred one million, nine hundred ninety-two thousand, one hundred twenty-eight".
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