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223041140322 = 2371113101367687
BaseRepresentation
bin1100111110111001001…
…0011011011001100010
3210022201010020212222220
43033232102123121202
512123242012442242
6250244053411510
722054111261140
oct3175622333142
9708633225886
10223041140322
11866559aaa30
1237288039b96
1318056a83c10
14ab1c23c590
155c061adbec
hex33ee49b662

223041140322 has 128 divisors (see below), whose sum is σ = 604867350528. Its totient is φ = 52946784000.

The previous prime is 223041140297. The next prime is 223041140323.

It is a happy number.

223041140322 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2230411403222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223041140292 and 223041140301.

It is not an unprimeable number, because it can be changed into a prime (223041140323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422763 + ... + 790449.

It is an arithmetic number, because the mean of its divisors is an integer number (4725526176).

Almost surely, 2223041140322 is an apocalyptic number.

223041140322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223041140322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302433675264).

223041140322 is an abundant number, since it is smaller than the sum of its proper divisors (381826210206).

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

223041140322 is a wasteful number, since it uses less digits than its factorization.

223041140322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367824.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 223041 and 140322, that added together give a palindrome (363363).

The spelling of 223041140322 in words is "two hundred twenty-three billion, forty-one million, one hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 43329 46662 55146 86658 101101 202202 303303 367687 606606 735374 1103061 2206122 2573809 4044557 4779931 5147618 7721427 8089114 9559862 12133671 14339793 15442854 24267342 28311899 28679586 33459517 37136387 52579241 56623798 66919034 74272774 84935697 100378551 105158482 111409161 157737723 169871394 200757102 222818322 259954709 315475446 368054687 408500257 482773031 519909418 736109374 779864127 817000514 965546062 1104164061 1225500771 1448319093 1559728254 2208328122 2451001542 2859501799 2896638186 3379411217 5310503341 5719003598 6758822434 8578505397 10138233651 10621006682 15931510023 17157010794 20276467302 31863020046 37173523387 74347046774 111520570161 223041140322