Search a number
-
+
22011340023330 = 2357211696171363
BaseRepresentation
bin1010000000100111010100…
…00110100110011000100010
32212221021010010120020011220
411000103222012212120202
510341113211021221310
6114451511531115510
74431160345105320
oct500235206463042
985837103506156
1022011340023330
117016a58677229
122575b412a2b96
13c38878044888
145614d6c0cd10
152828736ba670
hex1404ea1a6622

22011340023330 has 128 divisors (see below), whose sum is σ = 60669658146816. Its totient is φ = 5006529561600.

The previous prime is 22011340023319. The next prime is 22011340023353. The reversal of 22011340023330 is 3332004311022.

It is a self number, because there is not a number n which added to its sum of digits gives 22011340023330.

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 63 ways as a sum of consecutive naturals, for example, 308406229 + ... + 308477591.

It is an arithmetic number, because the mean of its divisors is an integer number (473981704272).

Almost surely, 222011340023330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011340023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30334829073408).

22011340023330 is an abundant number, since it is smaller than the sum of its proper divisors (38658318123486).

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

22011340023330 is a wasteful number, since it uses less digits than its factorization.

22011340023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78552.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22011340023330 its reverse (3332004311022), we get a palindrome (25343344334352).

The spelling of 22011340023330 in words is "twenty-two trillion, eleven billion, three hundred forty million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 633 1055 1266 1477 2110 2954 3165 4431 6330 6961 7385 8862 13922 14770 20883 22155 34805 41766 44310 48727 69610 71363 97454 104415 142726 146181 208830 214089 243635 292362 356815 428178 487270 499541 713630 730905 999082 1070445 1461810 1468771 1498623 2140890 2497705 2937542 2997246 4406313 4995410 7343855 7493115 8812626 10281397 14687710 14986230 15057593 20562794 22031565 30115186 30844191 44063130 45172779 51406985 61688382 75287965 90345558 102813970 105403151 150575930 154220955 210806302 225863895 308441910 316209453 451727790 496757843 527015755 632418906 993515686 1054031510 1490273529 1581047265 2483789215 2980547058 3162094530 3477304901 4967578430 6954609802 7451367645 10431914703 14902735290 17386524505 20863829406 34773049010 52159573515 104319147030 104815904873 209631809746 314447714619 524079524365 628895429238 733711334111 1048159048730 1467422668222 1572238573095 2201134002333 3144477146190 3668556670555 4402268004666 7337113341110 11005670011665 22011340023330