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2010012200 = 235277691867
BaseRepresentation
bin111011111001110…
…0101101000101000
312012002012012101022
41313303211220220
513104030342300
6531241312012
7100544551610
oct16763455050
95162165338
102010012200
11941665a09
12481195608
13260571641
14150d43a40
15bb6de285
hex77ce5a28

2010012200 has 96 divisors (see below), whose sum is σ = 5350699200. Its totient is φ = 687882240.

The previous prime is 2010012157. The next prime is 2010012209. The reversal of 2010012200 is 22100102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2010012209) 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 23 ways as a sum of consecutive naturals, for example, 1075667 + ... + 1077533.

It is an arithmetic number, because the mean of its divisors is an integer number (55736450).

Almost surely, 22010012200 is an apocalyptic number.

2010012200 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 2010012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675349600).

2010012200 is an abundant number, since it is smaller than the sum of its proper divisors (3340687000).

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

2010012200 is a wasteful number, since it uses less digits than its factorization.

2010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2010012200 is about 44833.1596031330. The cubic root of 2010012200 is about 1262.0199815503.

Adding to 2010012200 its reverse (22100102), we get a palindrome (2032112302).

The spelling of 2010012200 in words is "two billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 769 1400 1538 1867 3076 3734 3845 5383 6152 7468 7690 9335 10766 13069 14936 15380 18670 19225 21532 26138 26915 30760 37340 38450 43064 46675 52276 53830 65345 74680 76900 93350 104552 107660 130690 134575 153800 186700 215320 261380 269150 326725 373400 522760 538300 653450 1076600 1306900 1435723 2613800 2871446 5742892 7178615 10050061 11485784 14357230 20100122 28714460 35893075 40200244 50250305 57428920 71786150 80400488 100500610 143572300 201001220 251251525 287144600 402002440 502503050 1005006100 2010012200