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132225839900 = 2252711109157543
BaseRepresentation
bin111101100100101000…
…1100011001100011100
3110122022001020121221122
41323021101203030130
54131244303334100
6140424350350112
712360452044340
oct1731121431434
9418261217848
10132225839900
1151093048640
12217621bb338
13c61308276b
146584d51620
15368d486985
hex1ec946331c

132225839900 has 144 divisors (see below), whose sum is σ = 361015226880. Its totient is φ = 40834886400.

The previous prime is 132225839899. The next prime is 132225839951. The reversal of 132225839900 is 9938522231.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760529 + ... + 918071.

Almost surely, 2132225839900 is an apocalyptic number.

132225839900 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 132225839900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180507613440).

132225839900 is an abundant number, since it is smaller than the sum of its proper divisors (228789386980).

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

132225839900 is a wasteful number, since it uses less digits than its factorization.

132225839900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157684 (or 157677 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 132225839900 in words is "one hundred thirty-two billion, two hundred twenty-five million, eight hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 109 110 140 154 175 218 220 275 308 350 385 436 545 550 700 763 770 1090 1100 1199 1526 1540 1925 2180 2398 2725 3052 3815 3850 4796 5450 5995 7630 7700 8393 10900 11990 15260 16786 19075 23980 29975 33572 38150 41965 59950 76300 83930 119900 157543 167860 209825 315086 419650 630172 787715 839300 1102801 1575430 1732973 2205602 3150860 3465946 3938575 4411204 5514005 6931892 7877150 8664865 11028010 12130811 15754300 17172187 17329730 22056020 24261622 27570025 34344374 34659460 43324325 48523244 55140050 60654055 68688748 85860935 86648650 110280100 120205309 121308110 171721870 173297300 188894057 240410618 242616220 303270275 343443740 377788114 429304675 480821236 601026545 606540550 755576228 858609350 944470285 1202053090 1213081100 1322258399 1717218700 1888940570 2404106180 2644516798 3005132725 3777881140 4722351425 5289033596 6010265450 6611291995 9444702850 12020530900 13222583990 18889405700 26445167980 33056459975 66112919950 132225839900