Search a number
-
+
224144344131022 = 27193737951284129
BaseRepresentation
bin110010111101101110101100…
…000000101010010111001110
31002101121222201201201212101001
4302331232230000222113032
5213334340104044143042
62112414253513210514
765132615541250060
oct6275565400522716
91071558651655331
10224144344131022
116546809a916017
1221180813400a3a
13980b94ac31753
143d4c903743730
151ada7971a1bb7
hexcbdbac02a5ce

224144344131022 has 64 divisors (see below), whose sum is σ = 405607803955200. Its totient is φ = 90750255897600.

The previous prime is 224144344131011. The next prime is 224144344131023. The reversal of 224144344131022 is 220131443441422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224144344131023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788740254 + ... + 789024382.

It is an arithmetic number, because the mean of its divisors is an integer number (6337621936800).

Almost surely, 2224144344131022 is an apocalyptic number.

224144344131022 is a deficient number, since it is larger than the sum of its proper divisors (181463459824178).

224144344131022 is a wasteful number, since it uses less digits than its factorization.

224144344131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292481.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 224144344131022 its reverse (220131443441422), we get a palindrome (444275787572444).

The spelling of 224144344131022 in words is "two hundred twenty-four trillion, one hundred forty-four billion, three hundred forty-four million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 7 14 19 38 133 266 373 746 2611 5222 7087 7951 14174 15902 49609 55657 99218 111314 151069 284129 302138 568258 1057483 1988903 2114966 2965723 3977806 5398451 5931446 10796902 20760061 37789157 41520122 56348737 75578314 105980117 112697474 211960234 394441159 741860819 788882318 1483721638 2013622223 2259109679 4027244446 4518219358 14095355561 15813767753 28190711122 31627535506 42923083901 85846167802 300461587307 600923174614 842647910267 1685295820534 5898535371869 11797070743738 16010310295073 32020620590146 112072172065511 224144344131022