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2112021200 = 245222923057
BaseRepresentation
bin111110111100010…
…1110001011010000
312110012010210102102
41331320232023100
513311134134300
6545323535532
7103223612132
oct17570561320
95405123372
102112021200
119941a9873
124ab38a5a8
132787396b3
141606d9052
15c563e0d5
hex7de2e2d0

2112021200 has 60 divisors (see below), whose sum is σ = 5096509740. Its totient is φ = 841082880.

The previous prime is 2112021199. The next prime is 2112021203. The reversal of 2112021200 is 21202112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 328479376 + 1783541824 = 18124^2 + 42232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112021203) 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 11 ways as a sum of consecutive naturals, for example, 80072 + ... + 103128.

It is an arithmetic number, because the mean of its divisors is an integer number (84941829).

Almost surely, 22112021200 is an apocalyptic number.

2112021200 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 2112021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548254870).

2112021200 is an abundant number, since it is smaller than the sum of its proper divisors (2984488540).

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

2112021200 is a wasteful number, since it uses less digits than its factorization.

2112021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304 (or 23293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2112021200 is about 45956.7318246196. The cubic root of 2112021200 is about 1283.0180248961.

Adding to 2112021200 its reverse (21202112), we get a palindrome (2133223312).

The spelling of 2112021200 in words is "two billion, one hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 916 1145 1832 2290 3664 4580 5725 9160 11450 18320 22900 23057 45800 46114 91600 92228 115285 184456 230570 368912 461140 576425 922280 1152850 1844560 2305700 4611400 5280053 9222800 10560106 21120212 26400265 42240424 52800530 84480848 105601060 132001325 211202120 264002650 422404240 528005300 1056010600 2112021200