Search a number
-
+
4422254522244 = 22313283547718289
BaseRepresentation
bin100000001011010001011…
…1010001110111110000100
3120122202121112001221021120
41000112202322032332010
51034423234124202434
613223320005513540
7634332406141146
oct100264272167604
916582545057246
104422254522244
111455516431a09
125b50901128b0
1326102ac22920
14114076db8c96
157a07650b349
hex405a2e8ef84

4422254522244 has 96 divisors (see below), whose sum is σ = 11154243999360. Its totient is φ = 1355563911168.

The previous prime is 4422254522237. The next prime is 4422254522291.

4422254522244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4422254522196 and 4422254522205.

It is an unprimeable number.

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, 241789452 + ... + 241807740.

It is an arithmetic number, because the mean of its divisors is an integer number (116190041660).

Almost surely, 24422254522244 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 4422254522244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577121999680).

4422254522244 is an abundant number, since it is smaller than the sum of its proper divisors (6731989477116).

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

4422254522244 is a wasteful number, since it uses less digits than its factorization.

4422254522244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24069 (or 24067 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

The spelling of 4422254522244 in words is "four trillion, four hundred twenty-two billion, two hundred fifty-four million, five hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 566 849 1132 1698 3396 3679 5477 7358 10954 11037 14716 16431 18289 21908 22074 32862 36578 44148 54867 65724 71201 73156 109734 142402 213603 219468 237757 284804 427206 475514 713271 854412 951028 1426542 1549991 2853084 3099982 4649973 5175787 6199964 9299946 10351574 15527361 18599892 20149883 20703148 31054722 40299766 60449649 62109444 67285231 80599532 100168853 120899298 134570462 200337706 201855693 241798596 269140924 300506559 400675412 403711386 601013118 807422772 1202026236 1302195089 2604390178 3906585267 5208780356 7813170534 15626341068 28347785399 56695570798 85043356197 113391141596 170086712394 340173424788 368521210187 737042420374 1105563630561 1474084840748 2211127261122 4422254522244