Base | Representation |
---|---|
bin | 1000100101000101… |
… | …0000010110010000 |
3 | 12221111111121211101 |
4 | 2021101100112100 |
5 | 14204032031000 |
6 | 1020305154144 |
7 | 111033123355 |
oct | 21121202620 |
9 | 5844447741 |
10 | 2303002000 |
11 | a81a91542 |
12 | 54332b954 |
13 | 2a91866a0 |
14 | 17bc1062c |
15 | d72b5e6a |
hex | 89450590 |
2303002000 has 160 divisors (see below), whose sum is σ = 6063299424. Its totient is φ = 840960000.
The previous prime is 2303001979. The next prime is 2303002001. The reversal of 2303002000 is 2003032.
It can be written as a sum of positive squares in 16 ways, for example, as 982697104 + 1320304896 = 31348^2 + 36336^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (2303002001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2625562 + ... + 2626438.
Almost surely, 22303002000 is an apocalyptic number.
2303002000 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 2303002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031649712).
2303002000 is an abundant number, since it is smaller than the sum of its proper divisors (3760297424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2303002000 is a wasteful number, since it uses less digits than its factorization.
2303002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1014 (or 998 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
The square root of 2303002000 is about 47989.6030406587. The cubic root of 2303002000 is about 1320.5801704312.
Adding to 2303002000 its reverse (2003032), we get a palindrome (2305005032).
The spelling of 2303002000 in words is "two billion, three hundred three million, two thousand".
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