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2861228000 = 25531973631
BaseRepresentation
bin1010101010001010…
…1101111111100000
321101101220102221102
42222202231333200
521324433244000
61151530013532
7130622015411
oct25242557740
97341812842
102861228000
1112390a7a44
1267a2772a8
13367a17127
141d2001808
1511b2d13d5
hexaa8adfe0

2861228000 has 96 divisors (see below), whose sum is σ = 7067668608. Its totient is φ = 1138368000.

The previous prime is 2861227979. The next prime is 2861228003. The reversal of 2861228000 is 8221682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861228003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 786185 + ... + 789815.

It is an arithmetic number, because the mean of its divisors is an integer number (73621548).

Almost surely, 22861228000 is an apocalyptic number.

2861228000 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 2861228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533834304).

2861228000 is an abundant number, since it is smaller than the sum of its proper divisors (4206440608).

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

2861228000 is a wasteful number, since it uses less digits than its factorization.

2861228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2861228000 is about 53490.4477453685. The cubic root of 2861228000 is about 1419.6593774017.

Adding to 2861228000 its reverse (8221682), we get a palindrome (2869449682).

The spelling of 2861228000 in words is "two billion, eight hundred sixty-one million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 788 800 985 1000 1576 1970 2000 3152 3631 3940 4000 4925 6304 7262 7880 9850 14524 15760 18155 19700 24625 29048 31520 36310 39400 49250 58096 72620 78800 90775 98500 116192 145240 157600 181550 197000 290480 363100 394000 453875 580960 715307 726200 788000 907750 1430614 1452400 1815500 2861228 2904800 3576535 3631000 5722456 7153070 7262000 11444912 14306140 14524000 17882675 22889824 28612280 35765350 57224560 71530700 89413375 114449120 143061400 178826750 286122800 357653500 572245600 715307000 1430614000 2861228000