Search a number
-
+
20303042220 = 223251011139883
BaseRepresentation
bin10010111010001001…
…111101011010101100
31221101221202102000200
4102322021331122230
5313040034322340
613154352353500
71316062003626
oct227211753254
957357672020
1020303042220
1186795a113a
123b27545890
131bb73cc366
14da864bc16
157dc67b330
hex4ba27d6ac

20303042220 has 144 divisors (see below), whose sum is σ = 62752408992. Its totient is φ = 5312563200.

The previous prime is 20303042171. The next prime is 20303042231. The reversal of 20303042220 is 2224030302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20303042193 and 20303042202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2049399 + ... + 2059281.

It is an arithmetic number, because the mean of its divisors is an integer number (435780618).

Almost surely, 220303042220 is an apocalyptic number.

20303042220 is a gapful number since it is divisible by the number (20) 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 20303042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31376204496).

20303042220 is an abundant number, since it is smaller than the sum of its proper divisors (42449366772).

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

20303042220 is a wasteful number, since it uses less digits than its factorization.

20303042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20303042220 its reverse (2224030302), we get a palindrome (22527072522).

The spelling of 20303042220 in words is "twenty billion, three hundred three million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 113 180 202 226 303 339 404 452 505 565 606 678 909 1010 1017 1130 1212 1356 1515 1695 1818 2020 2034 2260 3030 3390 3636 4068 4545 5085 6060 6780 9090 9883 10170 11413 18180 19766 20340 22826 29649 34239 39532 45652 49415 57065 59298 68478 88947 98830 102717 114130 118596 136956 148245 171195 177894 197660 205434 228260 296490 342390 355788 410868 444735 513585 592980 684780 889470 998183 1027170 1116779 1778940 1996366 2054340 2233558 2994549 3350337 3992732 4467116 4990915 5583895 5989098 6700674 8983647 9981830 10051011 11167790 11978196 13401348 14972745 16751685 17967294 19963660 20102022 22335580 29945490 33503370 35934588 40204044 44918235 50255055 59890980 67006740 89836470 100510110 112794679 179672940 201020220 225589358 338384037 451178716 563973395 676768074 1015152111 1127946790 1353536148 1691920185 2030304222 2255893580 3383840370 4060608444 5075760555 6767680740 10151521110 20303042220