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2225681100 = 2232522472979
BaseRepresentation
bin1000010010101001…
…0011001011001100
312202010000022111100
42010222103023030
514024233243400
61004504023100
7106103656116
oct20452231314
95663008440
102225681100
11a42380175
12521461a90
13296153886
141718443b6
15d05e1100
hex84a932cc

2225681100 has 54 divisors (see below), whose sum is σ = 6976276580. Its totient is φ = 593514720.

The previous prime is 2225681083. The next prime is 2225681111. The reversal of 2225681100 is 11865222.

It is a happy 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 17 ways as a sum of consecutive naturals, for example, 1235590 + ... + 1237389.

Almost surely, 22225681100 is an apocalyptic number.

2225681100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225681100 is an abundant number, since it is smaller than the sum of its proper divisors (4750595480).

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

2225681100 is a wasteful number, since it uses less digits than its factorization.

2225681100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472999 (or 2472989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2225681100 is about 47177.1247534226. The cubic root of 2225681100 is about 1305.6325818512.

The spelling of 2225681100 in words is "two billion, two hundred twenty-five million, six hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2472979 4945958 7418937 9891916 12364895 14837874 22256811 24729790 29675748 37094685 44513622 49459580 61824475 74189370 89027244 111284055 123648950 148378740 185473425 222568110 247297900 370946850 445136220 556420275 741893700 1112840550 2225681100