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83037220 = 22571923153
BaseRepresentation
bin1001111001100…
…00110000100100
312210020201122121
410330300300210
5132224142340
612123435324
72025543010
oct474606044
9183221577
1083037220
1142966102
1223985b44
1314284966
14b057540
15745394a
hex4f30c24

83037220 has 144 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 25608960.

The previous prime is 83037217. The next prime is 83037223. The reversal of 83037220 is 2273038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83037217) and next prime (83037223).

It is not an unprimeable number, because it can be changed into a prime (83037223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566714 + ... + 1566766.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 283037220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83037220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

83037220 is an abundant number, since it is smaller than the sum of its proper divisors (138174428).

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

83037220 is a wasteful number, since it uses less digits than its factorization.

83037220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 83037220 is about 9112.4760630687. The cubic root of 83037220 is about 436.2722607229.

The spelling of 83037220 in words is "eighty-three million, thirty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 53 62 70 76 95 106 124 133 140 155 190 212 217 265 266 310 361 371 380 434 530 532 589 620 665 722 742 868 1007 1060 1085 1178 1330 1444 1484 1643 1805 1855 2014 2170 2356 2527 2660 2945 3286 3610 3710 4028 4123 4340 5035 5054 5890 6572 7049 7220 7420 8215 8246 10070 10108 11191 11501 11780 12635 14098 16430 16492 19133 20140 20615 22382 23002 25270 28196 31217 32860 35245 38266 41230 44764 46004 50540 55955 57505 62434 70490 76532 78337 82460 95665 111910 115010 124868 133931 140980 156085 156674 191330 218519 223820 230020 267862 312170 313348 382660 391685 437038 535724 593123 624340 669655 783370 874076 1092595 1186246 1339310 1566740 2185190 2372492 2678620 2965615 4151861 4370380 5931230 8303722 11862460 16607444 20759305 41518610 83037220