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132223313200 = 245211257116929
BaseRepresentation
bin111101100100100011…
…1111010010100110000
3110122021212111020222011
41323021013322110300
54131243132010300
6140424220252304
712360421422016
oct1731107722460
9418255436864
10132223313200
1151091682260
12217613a1094
13c6126a9684
1465848948b6
15368d137eba
hex1ec91fa530

132223313200 has 120 divisors (see below), whose sum is σ = 347896684080. Its totient is φ = 47893708800.

The previous prime is 132223313147. The next prime is 132223313221. The reversal of 132223313200 is 2313322231.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1072336 + ... + 1189264.

It is an arithmetic number, because the mean of its divisors is an integer number (2899139034).

Almost surely, 2132223313200 is an apocalyptic number.

132223313200 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 132223313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173948342040).

132223313200 is an abundant number, since it is smaller than the sum of its proper divisors (215673370880).

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

132223313200 is a wasteful number, since it uses less digits than its factorization.

132223313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117215 (or 117204 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132223313200 its reverse (2313322231), we get a palindrome (134536635431).

The spelling of 132223313200 in words is "one hundred thirty-two billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 257 275 400 440 514 550 880 1028 1100 1285 2056 2200 2570 2827 4112 4400 5140 5654 6425 10280 11308 12850 14135 20560 22616 25700 28270 45232 51400 56540 70675 102800 113080 116929 141350 226160 233858 282700 467716 565400 584645 935432 1130800 1169290 1286219 1870864 2338580 2572438 2923225 4677160 5144876 5846450 6431095 9354320 10289752 11692900 12862190 20579504 23385800 25724380 30050753 32155475 46771600 51448760 60101506 64310950 102897520 120203012 128621900 150253765 240406024 257243800 300507530 330558283 480812048 514487600 601015060 661116566 751268825 1202030120 1322233132 1502537650 1652791415 2404060240 2644466264 3005075300 3305582830 5288932528 6010150600 6611165660 8263957075 12020301200 13222331320 16527914150 26444662640 33055828300 66111656600 132223313200