Base | Representation |
---|---|
bin | 1101000010111010011… |
… | …1001110000010001111 |
3 | 210102111022221112021000 |
4 | 3100232213032002033 |
5 | 12132444301114211 |
6 | 250543124311343 |
7 | 22122624251622 |
oct | 3205647160217 |
9 | 712438845230 |
10 | 224120332431 |
11 | 8705a0a2a36 |
12 | 37529542553 |
13 | 1819952a828 |
14 | abc16c1db9 |
15 | 5c6acd4656 |
hex | 342e9ce08f |
224120332431 has 32 divisors (see below), whose sum is σ = 332881920000. Its totient is φ = 149030764704.
The previous prime is 224120332363. The next prime is 224120332459. The reversal of 224120332431 is 134233021422.
224120332431 is a `hidden beast` number, since 2 + 2 + 412 + 0 + 3 + 3 + 243 + 1 = 666.
224120332431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 224120332431 - 230 = 223046590607 is a prime.
It is a super-2 number, since 2×2241203324312 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 224120332395 and 224120332404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224120332481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17504370 + ... + 17517168.
It is an arithmetic number, because the mean of its divisors is an integer number (10402560000).
Almost surely, 2224120332431 is an apocalyptic number.
224120332431 is a deficient number, since it is larger than the sum of its proper divisors (108761587569).
224120332431 is a wasteful number, since it uses less digits than its factorization.
224120332431 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14420 (or 14414 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 224120332431 its reverse (134233021422), we get a palindrome (358353353853).
The spelling of 224120332431 in words is "two hundred twenty-four billion, one hundred twenty million, three hundred thirty-two thousand, four hundred thirty-one".
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