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132223140 = 2232571011039
BaseRepresentation
bin1111110000110…
…01000010100100
3100012210122001100
413320121002210
5232322120030
621042000100
73163610130
oct770310244
9305718040
10132223140
1168700225
1238346030
132151665a
14137bc3c0
15b91c360
hex7e190a4

132223140 has 144 divisors (see below), whose sum is σ = 463357440. Its totient is φ = 29894400.

The previous prime is 132223139. The next prime is 132223171. The reversal of 132223140 is 41322231.

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

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, 126741 + ... + 127779.

It is an arithmetic number, because the mean of its divisors is an integer number (3217760).

Almost surely, 2132223140 is an apocalyptic number.

132223140 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 132223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231678720).

132223140 is an abundant number, since it is smaller than the sum of its proper divisors (331134300).

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

132223140 is a wasteful number, since it uses less digits than its factorization.

132223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132223140 is about 11498.8321146106. The cubic root of 132223140 is about 509.4510818395.

Adding to 132223140 its reverse (41322231), we get a palindrome (173545371).

Subtracting from 132223140 its reverse (41322231), we obtain a palindrome (90900909).

The spelling of 132223140 in words is "one hundred thirty-two million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1039 1212 1260 1414 1515 1818 2020 2078 2121 2828 3030 3117 3535 3636 4156 4242 4545 5195 6060 6234 6363 7070 7273 8484 9090 9351 10390 10605 12468 12726 14140 14546 15585 18180 18702 20780 21210 21819 25452 29092 31170 31815 36365 37404 42420 43638 46755 62340 63630 65457 72730 87276 93510 104939 109095 127260 130914 145460 187020 209878 218190 261828 314817 327285 419756 436380 524695 629634 654570 734573 944451 1049390 1259268 1309140 1469146 1574085 1888902 2098780 2203719 2938292 3148170 3672865 3777804 4407438 4722255 6296340 6611157 7345730 8814876 9444510 11018595 13222314 14691460 18889020 22037190 26444628 33055785 44074380 66111570 132223140