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224344021441 = 4144933733613
BaseRepresentation
bin1101000011101111110…
…0100001100111000001
3210110001220212002220011
43100323330201213001
512133424032141231
6251021234544521
722131311501311
oct3207374414701
9713056762804
10224344021441
1187164395891
1237590438141
131820398a3a7
14ac032ad441
155c8076c9b1
hex343bf219c1

224344021441 has 16 divisors (see below), whose sum is σ = 230459720400. Its totient is φ = 218259578880.

The previous prime is 224344021403. The next prime is 224344021453. The reversal of 224344021441 is 144120443422.

It is a happy number.

224344021441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15495021441 + 208849000000 = 124479^2 + 457000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224344021441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224344321441) 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 15 ways as a sum of consecutive naturals, for example, 62091751 + ... + 62095363.

It is an arithmetic number, because the mean of its divisors is an integer number (14403732525).

Almost surely, 2224344021441 is an apocalyptic number.

It is an amenable number.

224344021441 is a deficient number, since it is larger than the sum of its proper divisors (6115698959).

224344021441 is a wasteful number, since it uses less digits than its factorization.

224344021441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 224344021441 its reverse (144120443422), we get a palindrome (368464464863).

The spelling of 224344021441 in words is "two hundred twenty-four billion, three hundred forty-four million, twenty-one thousand, four hundred forty-one".

Divisors: 1 41 449 3373 3613 18409 138293 148133 1514477 1622237 12186649 62093557 66511717 499652609 5471805401 224344021441