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20220220021200 = 2435256929613679
BaseRepresentation
bin1001001100011111000110…
…00010000001100111010000
32122121000220220021200202020
410212033203002001213100
510122242002311134300
6111001012453251440
74154601621225003
oct446174302014720
978530826250666
1020220220021200
116496390075461
122326992933b80
13b389b2754aa4
144dc94193953a
15250e935378a0
hex1263e30819d0

20220220021200 has 120 divisors (see below), whose sum is σ = 64885941974400. Its totient is φ = 5382582113280.

The previous prime is 20220220021097. The next prime is 20220220021237. The reversal of 20220220021200 is 212002202202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220220021200.

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, 14124040 + ... + 15489639.

It is an arithmetic number, because the mean of its divisors is an integer number (540716183120).

Almost surely, 220220220021200 is an apocalyptic number.

20220220021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220220021200 is an abundant number, since it is smaller than the sum of its proper divisors (44665721953200).

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

20220220021200 is a wasteful number, since it uses less digits than its factorization.

20220220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29614269 (or 29614258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20220220021200 its reverse (212002202202), we get a palindrome (20432222223402).

The spelling of 20220220021200 in words is "twenty trillion, two hundred twenty billion, two hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 569 600 1138 1200 1707 2276 2845 3414 4552 5690 6828 8535 9104 11380 13656 14225 17070 22760 27312 28450 34140 42675 45520 56900 68280 85350 113800 136560 170700 227600 341400 682800 29613679 59227358 88841037 118454716 148068395 177682074 236909432 296136790 355364148 444205185 473818864 592273580 710728296 740341975 888410370 1184547160 1421456592 1480683950 1776820740 2221025925 2369094320 2961367900 3553641480 4442051850 5922735800 7107282960 8884103700 11845471600 16850183351 17768207400 33700366702 35536414800 50550550053 67400733404 84250916755 101101100106 134801466808 168501833510 202202200212 252752750265 269602933616 337003667020 404404400424 421254583775 505505500530 674007334040 808808800848 842509167550 1011011001060 1263763751325 1348014668080 1685018335100 2022022002120 2527527502650 3370036670200 4044044004240 5055055005300 6740073340400 10110110010600 20220220021200