Base | Representation |
---|---|
bin | 1000101011110011… |
… | …0100101010010000 |
3 | 20000110120020102002 |
4 | 2022330310222100 |
5 | 14233241401034 |
6 | 1023153413132 |
7 | 111524605610 |
oct | 21274645220 |
9 | 6013506362 |
10 | 2331200144 |
11 | a969a1199 |
12 | 55086a1a8 |
13 | 2b1c7a490 |
14 | 181870a40 |
15 | d99d5e7e |
hex | 8af34a90 |
2331200144 has 160 divisors (see below), whose sum is σ = 5892956160. Its totient is φ = 868133376.
The previous prime is 2331200143. The next prime is 2331200159. The reversal of 2331200144 is 4410021332.
It is a super-2 number, since 2×23312001442 = 10868988222771241472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2331200143) 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, 2243177 + ... + 2244215.
It is an arithmetic number, because the mean of its divisors is an integer number (36830976).
Almost surely, 22331200144 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 2331200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946478080).
2331200144 is an abundant number, since it is smaller than the sum of its proper divisors (3561756016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2331200144 is a wasteful number, since it uses less digits than its factorization.
2331200144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 2331200144 is about 48282.5034976439. The cubic root of 2331200144 is about 1325.9480849951.
Adding to 2331200144 its reverse (4410021332), we get a palindrome (6741221476).
It can be divided in two parts, 2331 and 200144, that multiplied together give a palindrome (466535664).
The spelling of 2331200144 in words is "two billion, three hundred thirty-one million, two hundred thousand, one hundred forty-four".
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