Search a number
-
+
534224055320 = 235234321316337
BaseRepresentation
bin1111100011000100011…
…11000010110000011000
31220001220222210212011222
413301202033002300120
532223042324232240
61045230311311212
753411366355314
oct7614217026030
91801828725158
10534224055320
1119662160883a
128765267b508
133b4b9691a97
141bbdc666b44
15dd6a4ddeb5
hex7c623c2c18

534224055320 has 128 divisors (see below), whose sum is σ = 1284239024640. Its totient is φ = 199520133120.

The previous prime is 534224055319. The next prime is 534224055331. The reversal of 534224055320 is 23550422435.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 84299192 + ... + 84305528.

It is an arithmetic number, because the mean of its divisors is an integer number (10033117380).

Almost surely, 2534224055320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534224055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642119512320).

534224055320 is an abundant number, since it is smaller than the sum of its proper divisors (750014969320).

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

534224055320 is a wasteful number, since it uses less digits than its factorization.

534224055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 534224055320 its reverse (23550422435), we get a palindrome (557774477755).

The spelling of 534224055320 in words is "five hundred thirty-four billion, two hundred twenty-four million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 344 430 460 860 920 989 1720 1978 2131 3956 4262 4945 6337 7912 8524 9890 10655 12674 17048 19780 21310 25348 31685 39560 42620 49013 50696 63370 85240 91633 98026 126740 145751 183266 196052 245065 253480 272491 291502 366532 392104 458165 490130 544982 583004 728755 733064 916330 980260 1089964 1166008 1362455 1457510 1832660 1960520 2107559 2179928 2724910 2915020 3665320 4215118 5449820 5830040 6267293 8430236 10537795 10899640 12534586 13504147 16860472 21075590 25069172 27008294 31336465 42151180 50138344 54016588 62672930 67520735 84302360 108033176 125345860 135041470 250691720 270082940 310595381 540165880 580678321 621190762 1161356642 1242381524 1552976905 2322713284 2484763048 2903391605 3105953810 4645426568 5806783210 6211907620 11613566420 12423815240 13355601383 23227132840 26711202766 53422405532 66778006915 106844811064 133556013830 267112027660 534224055320