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132222630351460 = 225111752096787031
BaseRepresentation
bin11110000100000101111010…
…111010011101001001100100
3122100011100201110010210100111
4132010011322322131021210
5114312313421332221320
61145114123212022404
736564525020032555
oct3604057272351144
9570140643123314
10132222630351460
1139148336884210
12129b576b461a04
1358a170475221c
1424918764b832c
15104463263ea5a
hex78417ae9d264

132222630351460 has 96 divisors (see below), whose sum is σ = 320789881923840. Its totient is φ = 45243970867200.

The previous prime is 132222630351451. The next prime is 132222630351467. The reversal of 132222630351460 is 64153036222231.

It is not an unprimeable number, because it can be changed into a prime (132222630351467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16088145 + ... + 22875175.

It is an arithmetic number, because the mean of its divisors is an integer number (3341561270040).

Almost surely, 2132222630351460 is an apocalyptic number.

132222630351460 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 132222630351460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160394940961920).

132222630351460 is an abundant number, since it is smaller than the sum of its proper divisors (188567251572380).

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

132222630351460 is a wasteful number, since it uses less digits than its factorization.

132222630351460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792277 (or 6792275 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 132222630351460 its reverse (64153036222231), we get a palindrome (196375666573691).

The spelling of 132222630351460 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, six hundred thirty million, three hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 5209 10418 20836 26045 52090 57299 88553 104180 114598 177106 229196 286495 354212 442765 572990 885530 974083 1145980 1771060 1948166 3896332 4870415 6787031 9740830 13574062 19481660 27148124 33935155 67870310 74657341 115379527 135740620 149314682 230759054 298629364 373286705 461518108 576897635 746573410 1153795270 1269174797 1493146820 2307590540 2538349594 5076699188 6345873985 12691747970 25383495940 35353644479 70707288958 141414577916 176768222395 353536444790 388890089269 601011956143 707072889580 777780178538 1202023912286 1555560357076 1944450446345 2404047824572 3005059780715 3888900892690 6010119561430 6611131517573 7777801785380 12020239122860 13222263035146 26444526070292 33055657587865 66111315175730 132222630351460