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132231150 = 23352412389
BaseRepresentation
bin1111110000110…
…10111111101110
3100012211001001000
413320122333232
5232322344100
621042101130
73163642362
oct770327756
9305731030
10132231150
1168706247
123834a7a6
132151a1ac
14137c12a2
15b91e900
hex7e1afee

132231150 has 96 divisors (see below), whose sum is σ = 373413600. Its totient is φ = 34387200.

The previous prime is 132231137. The next prime is 132231173. The reversal of 132231150 is 51132231.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54156 + ... + 56544.

It is an arithmetic number, because the mean of its divisors is an integer number (3889725).

Almost surely, 2132231150 is an apocalyptic number.

132231150 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 132231150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186706800).

132231150 is an abundant number, since it is smaller than the sum of its proper divisors (241182450).

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

132231150 is a wasteful number, since it uses less digits than its factorization.

132231150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132231150 is about 11499.1804055767. The cubic root of 132231150 is about 509.4613690473.

Adding to 132231150 its reverse (51132231), we get a palindrome (183363381).

The spelling of 132231150 in words is "one hundred thirty-two million, two hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 135 150 205 225 246 270 369 410 450 615 675 738 1025 1107 1230 1350 1845 2050 2214 2389 3075 3690 4778 5535 6150 7167 9225 11070 11945 14334 18450 21501 23890 27675 35835 43002 55350 59725 64503 71670 97949 107505 119450 129006 179175 195898 215010 293847 322515 358350 489745 537525 587694 645030 881541 979490 1075050 1469235 1612575 1763082 2448725 2644623 2938470 3225150 4407705 4897450 5289246 7346175 8815410 13223115 14692350 22038525 26446230 44077050 66115575 132231150