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2143815200 = 255216372
BaseRepresentation
bin111111111001000…
…0000011000100000
312112101222002120222
41333302000120200
513342304041300
6552421222212
7104061062042
oct17762003040
95471862528
102143815200
11a001450aa
124b9b61968
132821bc107
14164a13a92
15c831e785
hex7fc80620

2143815200 has 54 divisors (see below), whose sum is σ = 5236787871. Its totient is φ = 857002240.

The previous prime is 2143815151. The next prime is 2143815203. The reversal of 2143815200 is 25183412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2347024 + 2141468176 = 1532^2 + 46276^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32740.

It is a super-2 number, since 2×21438152002 = 9191887223502080000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2143815200.

It is not an unprimeable number, because it can be changed into a prime (2143815203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1308782 + ... + 1310418.

Almost surely, 22143815200 is an apocalyptic number.

2143815200 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 2143815200

2143815200 is an abundant number, since it is smaller than the sum of its proper divisors (3092972671).

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

2143815200 is an frugal number, since it uses more digits than its factorization.

2143815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2143815200 is about 46301.3520320951. The cubic root of 2143815200 is about 1289.4240964381.

Adding to 2143815200 its reverse (25183412), we get a palindrome (2168998612).

The spelling of 2143815200 in words is "two billion, one hundred forty-three million, eight hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1637 3274 6548 8185 13096 16370 26192 32740 40925 52384 65480 81850 130960 163700 261920 327400 654800 1309600 2679769 5359538 10719076 13398845 21438152 26797690 42876304 53595380 66994225 85752608 107190760 133988450 214381520 267976900 428763040 535953800 1071907600 2143815200