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330221331132 = 2237112083171571
BaseRepresentation
bin1001100111000101011…
…10011010001010111100
31011120100200200201100120
410303202232122022330
520402243130044012
6411411313054540
732600123000430
oct4634256321274
91146320621316
10330221331132
11118056372720
1253bba557450
13251a8009274
1411da8b229c0
1588ca95758c
hex4ce2b9a2bc

330221331132 has 96 divisors (see below), whose sum is σ = 961110657024. Its totient is φ = 85730097600.

The previous prime is 330221331127. The next prime is 330221331199. The reversal of 330221331132 is 231133122033.

It is a super-2 number, since 2×3302213311322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838907 + ... + 2010477.

It is an arithmetic number, because the mean of its divisors is an integer number (10011569344).

Almost surely, 2330221331132 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 330221331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480555328512).

330221331132 is an abundant number, since it is smaller than the sum of its proper divisors (630889325892).

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

330221331132 is a wasteful number, since it uses less digits than its factorization.

330221331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173679 (or 173677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330221331132 its reverse (231133122033), we get a palindrome (561354453165).

The spelling of 330221331132 in words is "three hundred thirty billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2083 4166 6249 8332 12498 14581 22913 24996 29162 43743 45826 58324 68739 87486 91652 137478 160391 171571 174972 274956 320782 343142 481173 514713 641564 686284 962346 1029426 1200997 1887281 1924692 2058852 2401994 3602991 3774562 4803988 5661843 7205982 7549124 11323686 13210967 14411964 22647372 26421934 39632901 52843868 79265802 158531604 357382393 714764786 1072147179 1429529572 2144294358 2501676751 3931206323 4288588716 5003353502 7505030253 7862412646 10006707004 11793618969 15010060506 15724825292 23587237938 27518444261 30020121012 47174475876 55036888522 82555332783 110073777044 165110665566 330221331132