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224120332431 = 3377383912799
BaseRepresentation
bin1101000010111010011…
…1001110000010001111
3210102111022221112021000
43100232213032002033
512132444301114211
6250543124311343
722122624251622
oct3205647160217
9712438845230
10224120332431
118705a0a2a36
1237529542553
131819952a828
14abc16c1db9
155c6acd4656
hex342e9ce08f

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".

Divisors: 1 3 9 27 773 839 2319 2517 6957 7551 12799 20871 22653 38397 115191 345573 648547 1945641 5836923 9893627 10738361 17510769 29680881 32215083 89042643 96645249 267127929 289935747 8300753053 24902259159 74706777477 224120332431