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132244200 = 233252116679
BaseRepresentation
bin1111110000111…
…10001011101000
3100012211200221100
413320132023220
5232323303300
621042241400
73164025414
oct770361350
9305750840
10132244200
1168715030
1238356260
132152310a
14137c5d44
15b923700
hex7e1e2e8

132244200 has 144 divisors (see below), whose sum is σ = 484567200. Its totient is φ = 32054400.

The previous prime is 132244163. The next prime is 132244219. The reversal of 132244200 is 2442231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16461 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (3365050).

Almost surely, 2132244200 is an apocalyptic number.

132244200 is a gapful number since it is divisible by the number (10) 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 132244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242283600).

132244200 is an abundant number, since it is smaller than the sum of its proper divisors (352323000).

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

132244200 is a wasteful number, since it uses less digits than its factorization.

132244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132244200 is about 11499.7478233220. The cubic root of 132244200 is about 509.4781282153.

Adding to 132244200 its reverse (2442231), we get a palindrome (134686431).

It can be divided in two parts, 13224 and 4200, that added together give a square (17424 = 1322).

The spelling of 132244200 in words is "one hundred thirty-two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 6679 9900 13358 19800 20037 26716 33395 40074 53432 60111 66790 73469 80148 100185 120222 133580 146938 160296 166975 200370 220407 240444 267160 293876 300555 333950 367345 400740 440814 480888 500925 587752 601110 661221 667900 734690 801480 881628 1001850 1102035 1202220 1322442 1335800 1469380 1502775 1763256 1836725 2003700 2204070 2404440 2644884 2938760 3005550 3306105 3673450 4007400 4408140 5289768 5510175 6011100 6612210 7346900 8816280 11020350 12022200 13224420 14693800 16530525 22040700 26448840 33061050 44081400 66122100 132244200