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20233303020 = 223257149107773
BaseRepresentation
bin10010110101111111…
…111011001111101100
31221020002112021211100
4102311333323033230
5312414211144040
613143421523100
71314254144430
oct226577731754
957202467740
1020233303020
118643199037
123b08113490
131ba5b22468
14d9d2969c0
157d64a2b30
hex4b5ffb3ec

20233303020 has 144 divisors (see below), whose sum is σ = 70613524800. Its totient is φ = 4593673728.

The previous prime is 20233302989. The next prime is 20233303037. The reversal of 20233303020 is 2030333202.

It is a super-2 number, since 2×202333030202 (a number of 21 digits) contains 22 as substring.

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 = 20233302984 and 20233303002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133854 + ... + 241626.

It is an arithmetic number, because the mean of its divisors is an integer number (490371700).

Almost surely, 220233303020 is an apocalyptic number.

20233303020 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 20233303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35306762400).

20233303020 is an abundant number, since it is smaller than the sum of its proper divisors (50380221780).

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

20233303020 is a wasteful number, since it uses less digits than its factorization.

20233303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107944 (or 107939 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20233303020 its reverse (2030333202), we get a palindrome (22263636222).

The spelling of 20233303020 in words is "twenty billion, two hundred thirty-three million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 149 180 210 252 298 315 420 447 596 630 745 894 1043 1260 1341 1490 1788 2086 2235 2682 2980 3129 4172 4470 5215 5364 6258 6705 8940 9387 10430 12516 13410 15645 18774 20860 26820 31290 37548 46935 62580 93870 107773 187740 215546 323319 431092 538865 646638 754411 969957 1077730 1293276 1508822 1616595 1939914 2155460 2263233 3017644 3233190 3772055 3879828 4526466 4849785 6466380 6789699 7544110 9052932 9699570 11316165 13579398 15088220 16058177 19399140 22632330 27158796 32116354 33948495 45264660 48174531 64232708 67896990 80290885 96349062 112407239 135793980 144523593 160581770 192698124 224814478 240872655 289047186 321163540 337221717 449628956 481745310 562036195 578094372 674443434 722617965 963490620 1011665151 1124072390 1348886868 1445235930 1686108585 2023330302 2248144780 2890471860 3372217170 4046660604 5058325755 6744434340 10116651510 20233303020