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20412223020 = 2233572771437
BaseRepresentation
bin10011000000101010…
…011100111000101100
31221200120012100221000
4103000222130320230
5313301012114040
613213252440300
71321556014200
oct230052347054
957616170830
1020412223020
118725193302
123b58019090
131c03c08897
14db8d4cb00
157e7046130
hex4c0a9ce2c

20412223020 has 144 divisors (see below), whose sum is σ = 73872902880. Its totient is φ = 4665644928.

The previous prime is 20412222997. The next prime is 20412223021. The reversal of 20412223020 is 2032221402.

20412223020 is a `hidden beast` number, since 2 + 0 + 412 + 2 + 230 + 20 = 666.

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 = 20412222984 and 20412223002.

It is not an unprimeable number, because it can be changed into a prime (20412223021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359259 + ... + 412178.

It is an arithmetic number, because the mean of its divisors is an integer number (513006270).

Almost surely, 220412223020 is an apocalyptic number.

20412223020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412223020 is an abundant number, since it is smaller than the sum of its proper divisors (53460679860).

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

20412223020 is a wasteful number, since it uses less digits than its factorization.

20412223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771469 (or 771454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20412223020 its reverse (2032221402), we get a palindrome (22444444422).

The spelling of 20412223020 in words is "twenty billion, four hundred twelve million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 771437 1542874 2314311 3085748 3857185 4628622 5400059 6942933 7714370 9257244 10800118 11571555 13885866 15428740 16200177 20828799 21600236 23143110 27000295 27771732 32400354 34714665 37800413 41657598 46286220 48600531 54000590 64800708 69429330 75600826 81000885 83315196 97201062 104143995 108001180 113401239 138858660 145801593 151201652 162001770 189002065 194402124 208287990 226802478 243002655 291603186 324003540 340203717 378004130 416575980 453604956 486005310 567006195 583206372 680407434 729007965 756008260 972010620 1020611151 1134012390 1360814868 1458015930 1701018585 2041222302 2268024780 2916031860 3402037170 4082444604 5103055755 6804074340 10206111510 20412223020