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226442654144 = 267297744407
BaseRepresentation
bin1101001011100100001…
…0001011000111000000
3210122111011210200202022
43102321002023013000
512202223304413034
6252005403541012
722234313542100
oct3227102130700
9718434720668
10226442654144
1188040a7a683
1237a7722a768
13184796b9aa5
14ad61cc1200
155d54b14b2e
hex34b908b1c0

226442654144 has 84 divisors (see below), whose sum is σ = 528099412176. Its totient is φ = 96046239744.

The previous prime is 226442654129. The next prime is 226442654171. The reversal of 226442654144 is 441456244622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226442654095 and 226442654104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68012 + ... + 676395.

It is an arithmetic number, because the mean of its divisors is an integer number (6286897764).

Almost surely, 2226442654144 is an apocalyptic number.

It is an amenable number.

226442654144 is an abundant number, since it is smaller than the sum of its proper divisors (301656758032).

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

226442654144 is an equidigital number, since it uses as much as digits as its factorization.

226442654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744530 (or 744513 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 44.

Adding to 226442654144 its reverse (441456244622), we get a palindrome (667898898766).

The spelling of 226442654144 in words is "two hundred twenty-six billion, four hundred forty-two million, six hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 194 196 224 388 392 448 679 776 784 1358 1552 1568 2716 3104 3136 4753 5432 6208 9506 10864 19012 21728 38024 43456 76048 152096 304192 744407 1488814 2977628 5210849 5955256 10421698 11910512 20843396 23821024 36475943 41686792 47642048 72207479 72951886 83373584 144414958 145903772 166747168 288829916 291807544 333494336 505452353 577659832 583615088 1010904706 1155319664 1167230176 2021809412 2310639328 2334460352 3538166471 4043618824 4621278656 7076332942 8087237648 14152665884 16174475296 28305331768 32348950592 56610663536 113221327072 226442654144