Base | Representation |
---|---|
bin | 10110011001010001… |
… | …11101001110100000 |
3 | 1011000220211000120222 |
4 | 23030220331032200 |
5 | 144110421120300 |
6 | 5305015222212 |
7 | 603642465602 |
oct | 131450751640 |
9 | 34026730528 |
10 | 12023223200 |
11 | 510a8835aa |
12 | 23b6677968 |
13 | 1197c06071 |
14 | 820b45172 |
15 | 4a580b785 |
hex | 2cca3d3a0 |
12023223200 has 144 divisors (see below), whose sum is σ = 29829575160. Its totient is φ = 4731678720.
The previous prime is 12023223169. The next prime is 12023223217. The reversal of 12023223200 is 232232021.
It can be written as a sum of positive squares in 12 ways, for example, as 3661218064 + 8362005136 = 60508^2 + 91444^2 .
It is a super-2 number, since 2×120232232002 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15085202 + ... + 15085998.
Almost surely, 212023223200 is an apocalyptic number.
12023223200 is a gapful number since it is divisible by the number (10) 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 12023223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914787580).
12023223200 is an abundant number, since it is smaller than the sum of its proper divisors (17806351960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023223200 is a wasteful number, since it uses less digits than its factorization.
12023223200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 12023223200 its reverse (232232021), we get a palindrome (12255455221).
The spelling of 12023223200 in words is "twelve billion, twenty-three million, two hundred twenty-three thousand, two hundred".
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