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20404422000 = 2432531133579
BaseRepresentation
bin10011000000001100…
…101100010101110000
31221200000112000221100
4103000030230111300
5313242013001000
613212413324400
71321432503534
oct230014542560
957600460840
1020404422000
118720845286
123b55496700
131c02406bb1
14db7cbbbc4
157e6504a00
hex4c032c570

20404422000 has 120 divisors (see below), whose sum is σ = 71265907440. Its totient is φ = 5441174400.

The previous prime is 20404421987. The next prime is 20404422007. The reversal of 20404422000 is 22440402.

20404422000 is a `hidden beast` number, since 20 + 4 + 0 + 442 + 200 + 0 = 666.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404422007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548790 + ... + 584789.

It is an arithmetic number, because the mean of its divisors is an integer number (593882562).

Almost surely, 220404422000 is an apocalyptic number.

20404422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20404422000 is an abundant number, since it is smaller than the sum of its proper divisors (50861485440).

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

20404422000 is a wasteful number, since it uses less digits than its factorization.

20404422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133608 (or 1133589 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20404422000 its reverse (22440402), we get a palindrome (20426862402).

The spelling of 20404422000 in words is "twenty billion, four hundred four million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1133579 2267158 3400737 4534316 5667895 6801474 9068632 10202211 11335790 13602948 17003685 18137264 20404422 22671580 27205896 28339475 34007370 40808844 45343160 51011055 54411792 56678950 68014740 81617688 85018425 90686320 102022110 113357900 136029480 141697375 163235376 170036850 204044220 226715800 255055275 272058960 283394750 340073700 408088440 425092125 453431600 510110550 566789500 680147400 816176880 850184250 1020221100 1133579000 1275276375 1360294800 1700368500 2040442200 2267158000 2550552750 3400737000 4080884400 5101105500 6801474000 10202211000 20404422000