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2012414500 = 22536616089
BaseRepresentation
bin111011111110011…
…0000001000100100
312012020201020201101
41313330300020210
513110134231000
6531405005444
7100604145445
oct16774601044
95166636641
102012414500
11942a56888
12481b53884
13260c02c15
141513ab2cc
15bba15e6a
hex77f30224

2012414500 has 48 divisors (see below), whose sum is σ = 4402485360. Its totient is φ = 803616000.

The previous prime is 2012414489. The next prime is 2012414543. The reversal of 2012414500 is 54142102.

It can be written as a sum of positive squares in 8 ways, for example, as 630210816 + 1382203684 = 25104^2 + 37178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327456 + ... + 333544.

It is an arithmetic number, because the mean of its divisors is an integer number (91718445).

Almost surely, 22012414500 is an apocalyptic number.

2012414500 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 2012414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201242680).

2012414500 is an abundant number, since it is smaller than the sum of its proper divisors (2390070860).

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

2012414500 is a wasteful number, since it uses less digits than its factorization.

2012414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2012414500 is about 44859.9431564508. The cubic root of 2012414500 is about 1262.5225562091.

Adding to 2012414500 its reverse (54142102), we get a palindrome (2066556602).

The spelling of 2012414500 in words is "two billion, twelve million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 661 1322 2644 3305 6089 6610 12178 13220 16525 24356 30445 33050 60890 66100 82625 121780 152225 165250 304450 330500 608900 761125 1522250 3044500 4024829 8049658 16099316 20124145 40248290 80496580 100620725 201241450 402482900 503103625 1006207250 2012414500