Base | Representation |
---|---|
bin | 111100100100000… |
… | …0000111110111000 |
3 | 12020121211121221011 |
4 | 1321020000332320 |
5 | 13130212104222 |
6 | 533351523304 |
7 | 101233640662 |
oct | 17110007670 |
9 | 5217747834 |
10 | 2032144312 |
11 | 953102110 |
12 | 488689534 |
13 | 265020373 |
14 | 153c65532 |
15 | bd611c77 |
hex | 79200fb8 |
2032144312 has 64 divisors (see below), whose sum is σ = 4208371200. Its totient is φ = 912288000.
The previous prime is 2032144291. The next prime is 2032144313. The reversal of 2032144312 is 2134412302.
It is a super-2 number, since 2×20321443122 = 8259221009587906688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2032144313) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4714737 + ... + 4715167.
It is an arithmetic number, because the mean of its divisors is an integer number (65755800).
Almost surely, 22032144312 is an apocalyptic number.
2032144312 is a gapful number since it is divisible by the number (22) 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 2032144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104185600).
2032144312 is an abundant number, since it is smaller than the sum of its proper divisors (2176226888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032144312 is a wasteful number, since it uses less digits than its factorization.
2032144312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 988 (or 984 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 2032144312 is about 45079.3113523266. The cubic root of 2032144312 is about 1266.6350901947.
Adding to 2032144312 its reverse (2134412302), we get a palindrome (4166556614).
The spelling of 2032144312 in words is "two billion, thirty-two million, one hundred forty-four thousand, three hundred twelve".
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