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22144242324 = 223471011492609
BaseRepresentation
bin10100100111111001…
…100101001010010100
32010011021022001202010
4110213321211022110
5330322411223244
614101203544220
71412516645151
oct244771451224
963137261663
1022144242324
119433936016
12436008b070
13211b9b6289
141100dab228
15899121eb9
hex527e65294

22144242324 has 96 divisors (see below), whose sum is σ = 53669952000. Its totient is φ = 7102105600.

The previous prime is 22144242257. The next prime is 22144242331. The reversal of 22144242324 is 42324244122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22144242291 and 22144242300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8486332 + ... + 8488940.

It is an arithmetic number, because the mean of its divisors is an integer number (559062000).

Almost surely, 222144242324 is an apocalyptic number.

It is an amenable number.

22144242324 is an abundant number, since it is smaller than the sum of its proper divisors (31525709676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22144242324 is a wasteful number, since it uses less digits than its factorization.

22144242324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 22144242324 its reverse (42324244122), we get a palindrome (64468486446).

The spelling of 22144242324 in words is "twenty-two billion, one hundred forty-four million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 47 94 101 141 149 188 202 282 298 303 404 447 564 596 606 894 1212 1788 2609 4747 5218 7003 7827 9494 10436 14006 14241 15049 15654 18988 21009 28012 28482 30098 31308 42018 45147 56964 60196 84036 90294 122623 180588 245246 263509 367869 388741 490492 527018 707303 735738 777482 790527 1054036 1166223 1414606 1471476 1554964 1581054 2121909 2332446 2829212 3162108 4243818 4664892 8487636 12384923 18270827 24769846 36541654 37154769 39262841 49539692 54812481 73083308 74309538 78525682 109624962 117788523 148619076 157051364 219249924 235577046 471154092 1845353527 3690707054 5536060581 7381414108 11072121162 22144242324