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330112230220 = 225312815033767
BaseRepresentation
bin1001100110111000011…
…10001110001101001100
31011120002002101211001001
410303130032032031030
520402032212331340
6411352414430044
732564326442113
oct4633416161514
91146062354031
10330112230220
11117aaa825583
1253b89b02324
132518b52a206
1411d98442c7a
1588c10a629a
hex4cdc38e34c

330112230220 has 96 divisors (see below), whose sum is σ = 719763480576. Its totient is φ = 127043750400.

The previous prime is 330112230191. The next prime is 330112230221. The reversal of 330112230220 is 22032211033.

It is not an unprimeable number, because it can be changed into a prime (330112230221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87630777 + ... + 87634543.

It is an arithmetic number, because the mean of its divisors is an integer number (7497536256).

Almost surely, 2330112230220 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 330112230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359881740288).

330112230220 is an abundant number, since it is smaller than the sum of its proper divisors (389651250356).

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

330112230220 is a wasteful number, since it uses less digits than its factorization.

330112230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 330112230220 its reverse (22032211033), we get a palindrome (352144441253).

The spelling of 330112230220 in words is "three hundred thirty billion, one hundred twelve million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 281 310 503 562 620 1006 1124 1405 2012 2515 2810 3767 5030 5620 7534 8711 10060 15068 15593 17422 18835 31186 34844 37670 43555 62372 75340 77965 87110 116777 141343 155930 174220 233554 282686 311860 467108 565372 583885 706715 1058527 1167770 1413430 1894801 2117054 2335540 2826860 3789602 4234108 4381633 5292635 7579204 8763266 9474005 10585270 17526532 18948010 21170540 21908165 32814337 37896020 43816330 58738831 65628674 87632660 117477662 131257348 164071685 234955324 293694155 328143370 532439081 587388310 656286740 1064878162 1174776620 2129756324 2662195405 5324390810 10648781620 16505611511 33011223022 66022446044 82528057555 165056115110 330112230220