Search a number
-
+
220042202020 = 225731371100101
BaseRepresentation
bin1100110011101110001…
…0011000101110100100
3210000222010020001000221
43030323202120232210
512101121300431040
6245030324014124
721616564566604
oct3147342305644
9700863201027
10220042202020
11853570a5223
123678b831344
1317999681a04
14a915c30c04
155accc7974a
hex333b898ba4

220042202020 has 48 divisors (see below), whose sum is σ = 471838148208. Its totient is φ = 86177433600.

The previous prime is 220042202011. The next prime is 220042202021. The reversal of 220042202020 is 20202240022.

220042202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19289664 + 220022912356 = 4392^2 + 469066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220042201985 and 220042202003.

It is not an unprimeable number, because it can be changed into a prime (220042202021) 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 15 ways as a sum of consecutive naturals, for example, 350031 + ... + 750070.

It is an arithmetic number, because the mean of its divisors is an integer number (9829961421).

Almost surely, 2220042202020 is an apocalyptic number.

220042202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220042202020 is an abundant number, since it is smaller than the sum of its proper divisors (251795946188).

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

220042202020 is a wasteful number, since it uses less digits than its factorization.

220042202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100320 (or 1100318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220042202020 its reverse (20202240022), we get a palindrome (240244442042).

The spelling of 220042202020 in words is "two hundred twenty billion, forty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 2740 10001 20002 40004 50005 100010 200020 1100101 2200202 4400404 5500505 11001010 22002020 80307373 150713837 160614746 301427674 321229492 401536865 602855348 753569185 803073730 1507138370 1606147460 3014276740 11002110101 22004220202 44008440404 55010550505 110021101010 220042202020