Base | Representation |
---|---|
bin | 101110000011… |
… | …0000110000100 |
3 | 1200102112220000 |
4 | 1130012012010 |
5 | 22140022322 |
6 | 2221241300 |
7 | 412130313 |
oct | 134060604 |
9 | 50375800 |
10 | 24142212 |
11 | 1269a446 |
12 | 8103230 |
13 | 5003943 |
14 | 32c627a |
15 | 21bd3ac |
hex | 1706184 |
24142212 has 60 divisors (see below), whose sum is σ = 63575820. Its totient is φ = 7988544.
The previous prime is 24142207. The next prime is 24142213. The reversal of 24142212 is 21224142.
24142212 is a `hidden beast` number, since 241 + 422 + 1 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 21399876 = 1656^2 + 4626^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (24142213) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87018 + ... + 87294.
It is an arithmetic number, because the mean of its divisors is an integer number (1059597).
Almost surely, 224142212 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 24142212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31787910).
24142212 is an abundant number, since it is smaller than the sum of its proper divisors (39433608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24142212 is a wasteful number, since it uses less digits than its factorization.
24142212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 562 (or 551 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 24142212 is about 4913.4724991598. The cubic root of 24142212 is about 289.0185290818.
Adding to 24142212 its reverse (21224142), we get a palindrome (45366354).
The spelling of 24142212 in words is "twenty-four million, one hundred forty-two thousand, two hundred twelve".
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