Base | Representation |
---|---|
bin | 1000100010000001… |
… | …1010000100000000 |
3 | 12220121102001022100 |
4 | 2020200122010000 |
5 | 14142242243421 |
6 | 1015130510400 |
7 | 110516231262 |
oct | 21040320400 |
9 | 5817361270 |
10 | 2290196736 |
11 | a75835783 |
12 | 53ab95400 |
13 | 2a6621cc9 |
14 | 17a239b32 |
15 | d60d6c26 |
hex | 8881a100 |
2290196736 has 81 divisors (see below), whose sum is σ = 6609831501. Its totient is φ = 762633216.
The previous prime is 2290196723. The next prime is 2290196761. The reversal of 2290196736 is 6376910922.
It is a happy number.
The square root of 2290196736 is 47856.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 1971360000 + 318836736 = 44400^2 + 17856^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2290196691 and 2290196700.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2296590 + ... + 2297586.
Almost surely, 22290196736 is an apocalyptic number.
2290196736 is the 47856-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2290196736
2290196736 is an abundant number, since it is smaller than the sum of its proper divisors (4319634765).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2290196736 is an frugal number, since it uses more digits than its factorization.
2290196736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2016 (or 1002 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The cubic root of 2290196736 is about 1318.1280352237.
The spelling of 2290196736 in words is "two billion, two hundred ninety million, one hundred ninety-six thousand, seven hundred thirty-six".
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