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2864200000 = 265514321
BaseRepresentation
bin1010101010111000…
…0011100101000000
321101121111102202111
42222232003211000
521331213400000
61152113425104
7130656204214
oct25256034500
97347442674
102864200000
11123a847942
1267b26b194
13368517acc
141d2576944
1511b6bbcba
hexaab83940

2864200000 has 84 divisors (see below), whose sum is σ = 7104599964. Its totient is φ = 1145600000.

The previous prime is 2864199983. The next prime is 2864200013. The reversal of 2864200000 is 24682.

It can be written as a sum of positive squares in 6 ways, for example, as 2840463616 + 23736384 = 53296^2 + 4872^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 192840 + ... + 207160.

It is an arithmetic number, because the mean of its divisors is an integer number (84578571).

Almost surely, 22864200000 is an apocalyptic number.

2864200000 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 2864200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552299982).

2864200000 is an abundant number, since it is smaller than the sum of its proper divisors (4240399964).

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

2864200000 is an frugal number, since it uses more digits than its factorization.

2864200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14358 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2864200000 is about 53518.2211961496. The cubic root of 2864200000 is about 1420.1507477334.

Adding to 2864200000 its reverse (24682), we get a palindrome (2864224682).

The spelling of 2864200000 in words is "two billion, eight hundred sixty-four million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 14321 20000 25000 28642 40000 50000 57284 71605 100000 114568 143210 200000 229136 286420 358025 458272 572840 716050 916544 1145680 1432100 1790125 2291360 2864200 3580250 4582720 5728400 7160500 8950625 11456800 14321000 17901250 22913600 28642000 35802500 44753125 57284000 71605000 89506250 114568000 143210000 179012500 286420000 358025000 572840000 716050000 1432100000 2864200000