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2002132300 = 225275774957
BaseRepresentation
bin111011101010110…
…0001110101001100
312011112100212012011
41313111201311030
513100021213200
6530400351004
7100420562260
oct16725416514
95145325164
102002132300
119381736a3
1247a615464
1325ba42a8c
1414dc920a0
15bab845ba
hex77561d4c

2002132300 has 72 divisors (see below), whose sum is σ = 4974896864. Its totient is φ = 685117440.

The previous prime is 2002132291. The next prime is 2002132361. The reversal of 2002132300 is 32312002.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 401422 + ... + 406378.

Almost surely, 22002132300 is an apocalyptic number.

2002132300 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 2002132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487448432).

2002132300 is an abundant number, since it is smaller than the sum of its proper divisors (2972764564).

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

2002132300 is a wasteful number, since it uses less digits than its factorization.

2002132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2002132300 is about 44745.1930379119. The cubic root of 2002132300 is about 1260.3686458069.

Adding to 2002132300 its reverse (32312002), we get a palindrome (2034444302).

The spelling of 2002132300 in words is "two billion, two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 577 700 1154 2308 2885 4039 4957 5770 8078 9914 11540 14425 16156 19828 20195 24785 28850 34699 40390 49570 57700 69398 80780 99140 100975 123925 138796 173495 201950 247850 346990 403900 495700 693980 867475 1734950 2860189 3469900 5720378 11440756 14300945 20021323 28601890 40042646 57203780 71504725 80085292 100106615 143009450 200213230 286018900 400426460 500533075 1001066150 2002132300