Base | Representation |
---|---|
bin | 111100010011001… |
… | …1000110001000000 |
3 | 12020000020202100220 |
4 | 1320212120301000 |
5 | 13120433010312 |
6 | 532434543040 |
7 | 101066003610 |
oct | 17046306100 |
9 | 5200222326 |
10 | 2023328832 |
11 | 949130998 |
12 | 485737a80 |
13 | 2632549c5 |
14 | 152a0ca40 |
15 | bc96ec8c |
hex | 78998c40 |
2023328832 has 112 divisors (see below), whose sum is σ = 6315651072. Its totient is φ = 559434240.
The previous prime is 2023328789. The next prime is 2023328833. The reversal of 2023328832 is 2388233202.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 2023328793 and 2023328802.
It is not an unprimeable number, because it can be changed into a prime (2023328833) 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, 17383 + ... + 65945.
Almost surely, 22023328832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2023328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157825536).
2023328832 is an abundant number, since it is smaller than the sum of its proper divisors (4292322240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023328832 is a wasteful number, since it uses less digits than its factorization.
2023328832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48616 (or 48606 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 33.
The square root of 2023328832 is about 44981.4276340803. The cubic root of 2023328832 is about 1264.8008731127.
The spelling of 2023328832 in words is "two billion, twenty-three million, three hundred twenty-eight thousand, eight hundred thirty-two".
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