Search a number
-
+
22024410430240 = 255179127887171
BaseRepresentation
bin1010000000111111101010…
…01010001111101100100000
32212222111212000211200202201
411000133311022033230200
510341321443032231430
6114501512515222544
74432132264533031
oct500376512175440
985874760750681
1022024410430240
117021555570409
12257858a5a7a54
13c39b7bb9836a
14561db6a64a88
15282d8adc88ca
hex1407f528fb20

22024410430240 has 96 divisors (see below), whose sum is σ = 55099513332864. Its totient is φ = 8290624942080.

The previous prime is 22024410430193. The next prime is 22024410430279. The reversal of 22024410430240 is 4203401442022.

It is a junction number, because it is equal to n+sod(n) for n = 22024410430199 and 22024410430208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24381855 + ... + 25269025.

It is an arithmetic number, because the mean of its divisors is an integer number (573953263884).

Almost surely, 222024410430240 is an apocalyptic number.

22024410430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22024410430240 is an abundant number, since it is smaller than the sum of its proper divisors (33075102902624).

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

22024410430240 is a wasteful number, since it uses less digits than its factorization.

22024410430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896330 (or 896322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22024410430240 its reverse (4203401442022), we get a palindrome (26227811872262).

The spelling of 22024410430240 in words is "twenty-two trillion, twenty-four billion, four hundred ten million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 9127 18254 36508 45635 73016 91270 146032 155159 182540 292064 310318 365080 620636 730160 775795 887171 1241272 1460320 1551590 1774342 2482544 3103180 3548684 4435855 4965088 6206360 7097368 8871710 12412720 14194736 15081907 17743420 24825440 28389472 30163814 35486840 60327628 70973680 75409535 120655256 141947360 150819070 241310512 301638140 482621024 603276280 1206552560 2413105120 8097209717 16194419434 32388838868 40486048585 64777677736 80972097170 129555355472 137652565189 161944194340 259110710944 275305130378 323888388680 550610260756 647776777360 688262825945 1101220521512 1295553554720 1376525651890 2202441043024 2753051303780 4404882086048 5506102607560 11012205215120 22024410430240