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330020432220 = 223561563160159
BaseRepresentation
bin1001100110101101100…
…00000010100101011100
31011112211200122222212010
410303112300002211130
520401340212312340
6411335335111220
732562133250343
oct4632660024534
91145750588763
10330020432220
11117a62a26366
1253b63212510
13251754c8a7b
1411d8a188b5a
1588b7ec1b80
hex4cd6c0295c

330020432220 has 96 divisors (see below), whose sum is σ = 940879779840. Its totient is φ = 86408444160.

The previous prime is 330020432219. The next prime is 330020432221. The reversal of 330020432220 is 22234020033.

It is an interprime number because it is at equal distance from previous prime (330020432219) and next prime (330020432221).

It is a super-2 number, since 2×3300204322202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020432221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980501 + ... + 2140659.

It is an arithmetic number, because the mean of its divisors is an integer number (9800831040).

Almost surely, 2330020432220 is an apocalyptic number.

330020432220 is a gapful number since it is divisible by the number (30) 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 330020432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470439889920).

330020432220 is an abundant number, since it is smaller than the sum of its proper divisors (610859347620).

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

330020432220 is a wasteful number, since it uses less digits than its factorization.

330020432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160795 (or 160793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 330020432220 its reverse (22234020033), we get a palindrome (352254452253).

The spelling of 330020432220 in words is "three hundred thirty billion, twenty million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 563 610 732 915 1126 1220 1689 1830 2252 2815 3378 3660 5630 6756 8445 11260 16890 33780 34343 68686 103029 137372 160159 171715 206058 320318 343430 412116 480477 515145 640636 686860 800795 960954 1030290 1601590 1921908 2060580 2402385 3203180 4804770 9609540 9769699 19539398 29309097 39078796 48848495 58618194 90169517 97696990 117236388 146545485 180339034 195393980 270508551 293090970 360678068 450847585 541017102 586181940 901695170 1082034204 1352542755 1803390340 2705085510 5410171020 5500340537 11000681074 16501021611 22001362148 27501702685 33002043222 55003405370 66004086444 82505108055 110006810740 165010216110 330020432220