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20420202200 = 2352314876763
BaseRepresentation
bin10011000001001000…
…111000111011011000
31221201010012202022012
4103001020320323120
5313310032432300
613214135445052
71322013566126
oct230110707330
957633182265
1020420202200
118729743172
123b5a826788
131c057706a8
14dba028916
157e7ac0435
hex4c1238ed8

20420202200 has 96 divisors (see below), whose sum is σ = 49116380160. Its totient is φ = 7887196800.

The previous prime is 20420202167. The next prime is 20420202211. The reversal of 20420202200 is 220202402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016019 + ... + 3022781.

It is an arithmetic number, because the mean of its divisors is an integer number (511628960).

Almost surely, 220420202200 is an apocalyptic number.

20420202200 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 20420202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558190080).

20420202200 is an abundant number, since it is smaller than the sum of its proper divisors (28696177960).

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

20420202200 is a wasteful number, since it uses less digits than its factorization.

20420202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20420202200 its reverse (220202402), we get a palindrome (20640404602).

The spelling of 20420202200 in words is "twenty billion, four hundred twenty million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 487 620 775 974 1240 1550 1948 2435 3100 3896 4870 6200 6763 9740 12175 13526 15097 19480 24350 27052 30194 33815 48700 54104 60388 67630 75485 97400 120776 135260 150970 169075 209653 270520 301940 338150 377425 419306 603880 676300 754850 838612 1048265 1352600 1509700 1677224 2096530 3019400 3293581 4193060 5241325 6587162 8386120 10482650 13174324 16467905 20965300 26348648 32935810 41930600 65871620 82339525 102101011 131743240 164679050 204202022 329358100 408404044 510505055 658716200 816808088 1021010110 2042020220 2552525275 4084040440 5105050550 10210101100 20420202200