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2144200200 = 2335210693343
BaseRepresentation
bin111111111001101…
…1110011000001000
312112102200122201020
41333303132120020
513342403401300
6552433352440
7104064254352
oct17763363010
95472618636
102144200200
11a0038838a
124ba108720
132822c541c
14164ab40d2
15c83988a0
hex7fcde608

2144200200 has 96 divisors (see below), whose sum is σ = 6655228800. Its totient is φ = 571080960.

The previous prime is 2144200159. The next prime is 2144200273. The reversal of 2144200200 is 20024412.

It is a super-3 number, since 3×21442002003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2144200200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639729 + ... + 643071.

It is an arithmetic number, because the mean of its divisors is an integer number (69325300).

Almost surely, 22144200200 is an apocalyptic number.

2144200200 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 2144200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327614400).

2144200200 is an abundant number, since it is smaller than the sum of its proper divisors (4511028600).

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

2144200200 is a wasteful number, since it uses less digits than its factorization.

2144200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2144200200 is about 46305.5093914320. The cubic root of 2144200200 is about 1289.5012794843.

Adding to 2144200200 its reverse (20024412), we get a palindrome (2164224612).

The spelling of 2144200200 in words is "two billion, one hundred forty-four million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1069 2138 3207 3343 4276 5345 6414 6686 8552 10029 10690 12828 13372 16035 16715 20058 21380 25656 26725 26744 32070 33430 40116 42760 50145 53450 64140 66860 80175 80232 83575 100290 106900 128280 133720 160350 167150 200580 213800 250725 320700 334300 401160 501450 641400 668600 1002900 2005800 3573667 7147334 10721001 14294668 17868335 21442002 28589336 35736670 42884004 53605005 71473340 85768008 89341675 107210010 142946680 178683350 214420020 268025025 357366700 428840040 536050050 714733400 1072100100 2144200200