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132233332230 = 23257331364303
BaseRepresentation
bin111101100100110111…
…0001000011000000110
3110122022120100021111100
41323021232020120012
54131303213112410
6140425215120530
712360602531016
oct1731156103006
9418276307440
10132233332230
11510972a574a
1221764813146
13c6147a6aac
146585d41c46
15368de668c0
hex1ec9b88606

132233332230 has 96 divisors (see below), whose sum is σ = 349635252096. Its totient is φ = 34667523072.

The previous prime is 132233332183. The next prime is 132233332237. The reversal of 132233332230 is 32233332231.

132233332230 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 333 + 322 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132233332194 and 132233332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233332237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024259 + ... + 2088561.

It is an arithmetic number, because the mean of its divisors is an integer number (3642033876).

Almost surely, 2132233332230 is an apocalyptic number.

132233332230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174817626048).

132233332230 is an abundant number, since it is smaller than the sum of its proper divisors (217401919866).

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

132233332230 is a wasteful number, since it uses less digits than its factorization.

132233332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64702 (or 64699 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 132233332230 its reverse (32233332231), we get a palindrome (164466664461).

Subtracting from 132233332230 its reverse (32233332231), we obtain a palindrome (99999999999).

The spelling of 132233332230 in words is "one hundred thirty-two billion, two hundred thirty-three million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 313 365 438 626 657 730 939 1095 1314 1565 1878 2190 2817 3130 3285 4695 5634 6570 9390 14085 22849 28170 45698 64303 68547 114245 128606 137094 192909 205641 228490 321515 342735 385818 411282 578727 643030 685470 964545 1028205 1157454 1929090 2056410 2893635 4694119 5787270 9388238 14082357 20126839 23470595 28164714 40253678 42247071 46941190 60380517 70411785 84494142 100634195 120761034 140823570 181141551 201268390 211235355 301902585 362283102 422470710 603805170 905707755 1469259247 1811415510 2938518494 4407777741 7346296235 8815555482 13223333223 14692592470 22038888705 26446666446 44077777410 66116666115 132233332230