Search a number
-
+
2204111524300 = 2252719428938639
BaseRepresentation
bin100000000100101111010…
…010001101000111001100
321210201012022200121111021
4200010233102031013030
5242103010022234200
64404315503203524
7315145636556260
oct40045722150714
97721168617437
102204111524300
1177a838549054
122b72085a65a4
1312cb0162205a
1478972a360a0
153c5023a641a
hex2012f48d1cc

2204111524300 has 144 divisors (see below), whose sum is σ = 5755381632000. Its totient is φ = 715736494080.

The previous prime is 2204111524291. The next prime is 2204111524327. The reversal of 2204111524300 is 34251114022.

It is a super-2 number, since 2×22041115243002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 57024381 + ... + 57063019.

It is an arithmetic number, because the mean of its divisors is an integer number (39967928000).

Almost surely, 22204111524300 is an apocalyptic number.

2204111524300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204111524300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877690816000).

2204111524300 is an abundant number, since it is smaller than the sum of its proper divisors (3551270107700).

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

2204111524300 is a wasteful number, since it uses less digits than its factorization.

2204111524300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42968 (or 42961 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2204111524300 its reverse (34251114022), we get a palindrome (2238362638322).

The spelling of 2204111524300 in words is "two trillion, two hundred four billion, one hundred eleven million, five hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 4289 6650 8578 13300 17156 21445 30023 38639 42890 60046 77278 81491 85780 107225 120092 150115 154556 162982 193195 214450 270473 300230 325964 386390 407455 428900 540946 570437 600460 734141 750575 772780 814910 965975 1081892 1140874 1352365 1468282 1501150 1629820 1931950 2037275 2281748 2704730 2852185 2936564 3002300 3670705 3863900 4074550 5138987 5409460 5704370 6761825 7341410 8149100 10277974 11408740 13523650 14260925 14682820 18353525 20555948 25694935 27047300 28521850 36707050 51389870 57043700 73414100 102779740 128474675 165722671 256949350 331445342 513898700 662890684 828613355 1160058697 1657226710 2320117394 3148730749 3314453420 4143066775 4640234788 5800293485 6297461498 8286133550 11600586970 12594922996 15743653745 16572267100 22041115243 23201173940 29001467425 31487307490 44082230486 58002934850 62974614980 78718268725 88164460972 110205576215 116005869700 157436537450 220411152430 314873074900 440822304860 551027881075 1102055762150 2204111524300