Search a number
-
+
22425320520135 = 325131131991704713
BaseRepresentation
bin1010001100101010011010…
…10000110111100111000111
32221101211200010220102101200
411012111031100313213013
510414404024023121020
6115410014445553543
74503114230215251
oct506251520674707
987354603812350
1022425320520135
117166585896815
1226222165758b3
13c68910c23820
14577569a4ccd1
1528d502643590
hex14654d4379c7

22425320520135 has 96 divisors (see below), whose sum is σ = 42443287286400. Its totient is φ = 10887463673856.

The previous prime is 22425320520133. The next prime is 22425320520139. The reversal of 22425320520135 is 53102502352422.

It is a happy number.

22425320520135 is a `hidden beast` number, since 2 + 2 + 42 + 532 + 0 + 52 + 0 + 1 + 35 = 666.

It is not a de Polignac number, because 22425320520135 - 21 = 22425320520133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22425320520135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425320520133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12302539 + ... + 14007251.

It is an arithmetic number, because the mean of its divisors is an integer number (442117575900).

Almost surely, 222425320520135 is an apocalyptic number.

22425320520135 is a deficient number, since it is larger than the sum of its proper divisors (20017966766265).

22425320520135 is a wasteful number, since it uses less digits than its factorization.

22425320520135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705049 (or 1705046 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 22425320520135 its reverse (53102502352422), we get a palindrome (75527822872557).

The spelling of 22425320520135 in words is "twenty-two trillion, four hundred twenty-five billion, three hundred twenty million, five hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 113 117 195 199 339 565 585 597 995 1017 1469 1695 1791 2587 2985 4407 5085 7345 7761 8955 12935 13221 22035 22487 23283 38805 66105 67461 112435 116415 202383 292331 337305 876993 1011915 1461655 1704713 2630979 4384965 5114139 8523565 13154895 15342417 22161269 25570695 66483807 76712085 110806345 192632569 199451421 332419035 339237887 577897707 963162845 997257105 1017713661 1696189435 1733693121 2504223397 2889488535 3053140983 4410092531 5088568305 7512670191 8668465605 12521116985 13230277593 15265704915 22050462655 22538010573 37563350955 38333881231 39690832779 66151387965 112690052865 115001643693 191669406155 198454163895 345004931079 498340456003 575008218465 1495021368009 1725024655395 2491702280015 4485064104027 7475106840045 22425320520135