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2212300300 = 2252737229373
BaseRepresentation
bin1000001111011101…
…0000011000001100
312201011211111111011
42003313100120030
514012322102200
61003305135004
7105552146050
oct20367203014
95634744434
102212300300
11a35870a61
12518a8a464
1329344a242
1416db5dc60
15ce34b5ba
hex83dd060c

2212300300 has 144 divisors (see below), whose sum is σ = 5674567360. Its totient is φ = 732810240.

The previous prime is 2212300291. The next prime is 2212300301. The reversal of 2212300300 is 30032122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2212300301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5930914 + ... + 5931286.

Almost surely, 22212300300 is an apocalyptic number.

2212300300 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 2212300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837283680).

2212300300 is an abundant number, since it is smaller than the sum of its proper divisors (3462267060).

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

2212300300 is a wasteful number, since it uses less digits than its factorization.

2212300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

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

The square root of 2212300300 is about 47035.0964706144. The cubic root of 2212300300 is about 1303.0108321060.

Adding to 2212300300 its reverse (30032122), we get a palindrome (2242332422).

The spelling of 2212300300 in words is "two billion, two hundred twelve million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 229 259 350 370 373 458 518 700 740 746 916 925 1036 1145 1295 1492 1603 1850 1865 2290 2590 2611 3206 3700 3730 4580 5180 5222 5725 6412 6475 7460 8015 8473 9325 10444 11450 12950 13055 13801 16030 16946 18650 22900 25900 26110 27602 32060 33892 37300 40075 42365 52220 55204 59311 65275 69005 80150 84730 85417 96607 118622 130550 138010 160300 169460 170834 193214 211825 237244 261100 276020 296555 341668 345025 386428 423650 427085 483035 593110 597919 690050 847300 854170 966070 1186220 1195838 1380100 1482775 1708340 1932140 2135425 2391676 2415175 2965550 2989595 3160429 4270850 4830350 5931100 5979190 6320858 8541700 9660700 11958380 12641716 14947975 15802145 22123003 29895950 31604290 44246006 59791900 63208580 79010725 88492012 110615015 158021450 221230030 316042900 442460060 553075075 1106150150 2212300300