Base | Representation |
---|---|
bin | 100001011110001111110… |
… | …100000101110000101010 |
3 | 22010220021022022021221200 |
4 | 201132033310011300222 |
5 | 300141322344102310 |
6 | 4520412343545030 |
7 | 325120413644421 |
oct | 41361764056052 |
9 | 8126238267850 |
10 | 2300220300330 |
11 | 807577435a77 |
12 | 31196b15b176 |
13 | 138ba9c072b4 |
14 | 7d48cd7a2b8 |
15 | 3ec79ba59c0 |
hex | 2178fd05c2a |
2300220300330 has 96 divisors (see below), whose sum is σ = 6339763791504. Its totient is φ = 576636223488.
The previous prime is 2300220300317. The next prime is 2300220300359. The reversal of 2300220300330 is 330030220032.
2300220300330 is a `hidden beast` number, since 2 + 30 + 0 + 2 + 2 + 0 + 300 + 330 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1682268662529 + 617951637801 = 1297023^2 + 786099^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434074 + ... + 2188346.
Almost surely, 22300220300330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2300220300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169881895752).
2300220300330 is an abundant number, since it is smaller than the sum of its proper divisors (4039543491174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300220300330 is a wasteful number, since it uses less digits than its factorization.
2300220300330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1755160 (or 1755157 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
Adding to 2300220300330 its reverse (330030220032), we get a palindrome (2630250520362).
The spelling of 2300220300330 in words is "two trillion, three hundred billion, two hundred twenty million, three hundred thousand, three hundred thirty".
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