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2838288100 = 225243660067
BaseRepresentation
bin1010100100101100…
…1101011011100100
321022210201222022111
42221023031123210
521303100204400
61145350210404
7130223023264
oct25113153344
97283658274
102838288100
11122715994a
12672653a04
1336304481b
141ccd4d7a4
1511929e3ba
hexa92cd6e4

2838288100 has 36 divisors (see below), whose sum is σ = 6302329264. Its totient is φ = 1108910880.

The previous prime is 2838288097. The next prime is 2838288127. The reversal of 2838288100 is 18828382.

2838288100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28382881002 = 16111758677203220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325734 + ... + 334333.

Almost surely, 22838288100 is an apocalyptic number.

2838288100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2838288100 is an abundant number, since it is smaller than the sum of its proper divisors (3464041164).

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

2838288100 is a wasteful number, since it uses less digits than its factorization.

2838288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660124 (or 660117 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 2838288100 is about 53275.5863412126. The cubic root of 2838288100 is about 1415.8551519884.

The spelling of 2838288100 in words is "two billion, eight hundred thirty-eight million, two hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 660067 1320134 2640268 3300335 6600670 13201340 16501675 28382881 33003350 56765762 66006700 113531524 141914405 283828810 567657620 709572025 1419144050 2838288100