Search a number
-
+
22245344040000 = 26354185377867
BaseRepresentation
bin1010000111011011001011…
…10101000101010001000000
32220202122010021101221100010
411003231211311011101000
510403431431033240000
6115151211525224520
74454113235324214
oct503554565052100
986678107357303
1022245344040000
1170a7219859444
1225b3368862140
13c5495b125873
1456c975016944
152889bc033d50
hex143b65d45440

22245344040000 has 140 divisors (see below), whose sum is σ = 73548298373264. Its totient is φ = 5932091712000.

The previous prime is 22245344039993. The next prime is 22245344040041. The reversal of 22245344040000 is 4044354222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 22245344040000.

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 19 ways as a sum of consecutive naturals, for example, 92568934 + ... + 92808933.

Almost surely, 222245344040000 is an apocalyptic number.

22245344040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22245344040000 is an abundant number, since it is smaller than the sum of its proper divisors (51302954333264).

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

22245344040000 is an equidigital number, since it uses as much as digits as its factorization.

22245344040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185377902 (or 185377877 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22245344040000 its reverse (4044354222), we get a palindrome (22249388394222).

The spelling of 22245344040000 in words is "twenty-two trillion, two hundred forty-five billion, three hundred forty-four million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 185377867 370755734 556133601 741511468 926889335 1112267202 1483022936 1853778670 2224534404 2780668005 2966045872 3707557340 4449068808 4634446675 5561336010 5932091744 7415114680 8898137616 9268893350 11122672020 11864183488 13903340025 14830229360 17796275232 18537786700 22245344040 23172233375 27806680050 29660458720 35592550464 37075573400 44490688080 46344466750 55613360100 59320917440 69516700125 74151146800 88981376160 92688933500 111226720200 115861166875 139033400250 148302293600 177962752320 185377867000 222453440400 231722333750 278066800500 296604587200 347583500625 370755734000 444906880800 463444667500 556133601000 695167001250 741511468000 889813761600 926889335000 1112267202000 1390334002500 1483022936000 1853778670000 2224534404000 2780668005000 3707557340000 4449068808000 5561336010000 7415114680000 11122672020000 22245344040000