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330140333220 = 223567191429971
BaseRepresentation
bin1001100110111011110…
…01011011010010100100
31011120011001021121002220
410303131321123102210
520402111411130340
6411355301032340
732565120350055
oct4633571332244
91146131247086
10330140333220
1111801467a7a5
1253b973b56b0
13251942b98c9
1411d9c07a72c
1588c37a7ed0
hex4cdde5b4a4

330140333220 has 96 divisors (see below), whose sum is σ = 943104024576. Its totient is φ = 86269180800.

The previous prime is 330140333207. The next prime is 330140333227. The reversal of 330140333220 is 22333041033.

It is a happy number.

It is a super-2 number, since 2×3301403332202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330140333227) 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, 552835 + ... + 982805.

It is an arithmetic number, because the mean of its divisors is an integer number (9824000256).

Almost surely, 2330140333220 is an apocalyptic number.

330140333220 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 330140333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471552012288).

330140333220 is an abundant number, since it is smaller than the sum of its proper divisors (612963691356).

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

330140333220 is a wasteful number, since it uses less digits than its factorization.

330140333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430241 (or 430239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330140333220 its reverse (22333041033), we get a palindrome (352473374253).

The spelling of 330140333220 in words is "three hundred thirty billion, one hundred forty million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 191 201 268 335 382 402 573 670 764 804 955 1005 1146 1340 1910 2010 2292 2865 3820 4020 5730 11460 12797 25594 38391 51188 63985 76782 127970 153564 191955 255940 383910 429971 767820 859942 1289913 1719884 2149855 2579826 4299710 5159652 6449565 8599420 12899130 25798260 28808057 57616114 82124461 86424171 115232228 144040285 164248922 172848342 246373383 288080570 328497844 345696684 410622305 432120855 492746766 576161140 821244610 864241710 985493532 1231866915 1642489220 1728483420 2463733830 4927467660 5502338887 11004677774 16507016661 22009355548 27511694435 33014033322 55023388870 66028066644 82535083305 110046777740 165070166610 330140333220