Search a number
-
+
220020330312 = 233210130255821
BaseRepresentation
bin1100110011101000111…
…0111100111101001000
3210000220121001211200200
43030322032330331020
512101100201032222
6245024223132200
721616210643646
oct3147216747510
9700817054620
10220020330312
1185345816732
1236784444060
1317994c94683
14a912d7a196
155acada8eac
hex333a3bcf48

220020330312 has 48 divisors (see below), whose sum is σ = 601788299580. Its totient is φ = 72613968000.

The previous prime is 220020330293. The next prime is 220020330317. The reversal of 220020330312 is 213033020022.

It is a happy number.

220020330312 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 20 + 330 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219366709956 + 653620356 = 468366^2 + 25566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220020330317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15120639 + ... + 15135182.

Almost surely, 2220020330312 is an apocalyptic number.

It is an amenable number.

220020330312 is an abundant number, since it is smaller than the sum of its proper divisors (381767969268).

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

220020330312 is a wasteful number, since it uses less digits than its factorization.

220020330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30255934 (or 30255927 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220020330312 its reverse (213033020022), we get a palindrome (433053350334).

The spelling of 220020330312 in words is "two hundred twenty billion, twenty million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 30255821 60511642 90767463 121023284 181534926 242046568 272302389 363069852 544604778 726139704 1089209556 2178419112 3055837921 6111675842 9167513763 12223351684 18335027526 24446703368 27502541289 36670055052 55005082578 73340110104 110010165156 220020330312