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2112302200 = 2352194711827
BaseRepresentation
bin111110111100111…
…0010110001111000
312110012200001212211
41331321302301320
513311222132300
6545333544504
7103226162311
oct17571626170
95405601784
102112302200
119943809a8
124ab4a5134
13278807578
1416076d608
15c56974ba
hex7de72c78

2112302200 has 96 divisors (see below), whose sum is σ = 5280019200. Its totient is φ = 783354240.

The previous prime is 2112302197. The next prime is 2112302243. The reversal of 2112302200 is 22032112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172687 + ... + 184513.

It is an arithmetic number, because the mean of its divisors is an integer number (55000200).

Almost surely, 22112302200 is an apocalyptic number.

2112302200 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 2112302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640009600).

2112302200 is an abundant number, since it is smaller than the sum of its proper divisors (3167717000).

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

2112302200 is a wasteful number, since it uses less digits than its factorization.

2112302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11909 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2112302200 is about 45959.7889464258. The cubic root of 2112302200 is about 1283.0749233270.

Adding to 2112302200 its reverse (22032112), we get a palindrome (2134334312).

The spelling of 2112302200 in words is "two billion, one hundred twelve million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 152 188 190 200 235 376 380 470 475 760 893 940 950 1175 1786 1880 1900 2350 3572 3800 4465 4700 7144 8930 9400 11827 17860 22325 23654 35720 44650 47308 59135 89300 94616 118270 178600 224713 236540 295675 449426 473080 555869 591350 898852 1111738 1123565 1182700 1797704 2223476 2247130 2365400 2779345 4446952 4494260 5558690 5617825 8988520 10561511 11117380 11235650 13896725 21123022 22234760 22471300 27793450 42246044 44942600 52807555 55586900 84492088 105615110 111173800 211230220 264037775 422460440 528075550 1056151100 2112302200