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332302133032220 = 225137376912276429
BaseRepresentation
bin100101110001110100001111…
…0100110001111010100011100
31121120120202220000002111011202
41023203220132212033110130
5322023414232024012340
63134425254211535032
7126665015431111601
oct11343503646172434
91546522800074152
10332302133032220
11969775a7aa82aa
123132a467bba478
1311355c58abc070
145c0b71abbc6a8
152863e1b1b3c15
hex12e3a1e98f51c

332302133032220 has 96 divisors (see below), whose sum is σ = 761908154454720. Its totient is φ = 120999614883840.

The previous prime is 332302133032151. The next prime is 332302133032229. The reversal of 332302133032220 is 22230331203233.

It is a super-2 number, since 2×3323021330322202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332302133032229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144836966 + ... + 147113394.

It is an arithmetic number, because the mean of its divisors is an integer number (7936543275570).

Almost surely, 2332302133032220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332302133032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380954077227360).

332302133032220 is an abundant number, since it is smaller than the sum of its proper divisors (429606021422500).

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

332302133032220 is a wasteful number, since it uses less digits than its factorization.

332302133032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284215 (or 2284213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 332302133032220 its reverse (22230331203233), we get a palindrome (354532464235453).

The spelling of 332302133032220 in words is "three hundred thirty-two trillion, three hundred two billion, one hundred thirty-three million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 7691 9490 15382 18980 30764 38455 76910 99983 153820 199966 399932 499915 561443 999830 1122886 1999660 2245772 2276429 2807215 4552858 5614430 7298759 9105716 11228860 11382145 14597518 22764290 29195036 29593577 36493795 45528580 59187154 72987590 118374308 145975180 147967885 166179317 295935770 332358634 591871540 664717268 830896585 1661793170 2160331121 3323586340 4320662242 8641324484 10801655605 17508015439 21603311210 35016030878 43206622420 70032061756 87540077195 175080154390 227604200707 350160308780 455208401414 910416802828 1138021003535 1278085127047 2276042007070 2556170254094 4552084014140 5112340508188 6390425635235 12780851270470 16615106651611 25561702540940 33230213303222 66460426606444 83075533258055 166151066516110 332302133032220