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20225943000 = 233453249703
BaseRepresentation
bin10010110101100011…
…110110010111011000
31221012120200100210000
4102311203312113120
5312410320134000
613143000053000
71314134451564
oct226543662730
957176610700
1020225943000
11863a02137a
123b05764160
131ba4446413
14d9c2dc6a4
157d59ec000
hex4b58f65d8

20225943000 has 160 divisors (see below), whose sum is σ = 70701190560. Its totient is φ = 5393563200.

The previous prime is 20225942993. The next prime is 20225943007. The reversal of 20225943000 is 34952202.

20225943000 is a `hidden beast` number, since 2 + 0 + 225 + 9 + 430 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20225942993) and next prime (20225943007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225943007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43852 + ... + 205851.

It is an arithmetic number, because the mean of its divisors is an integer number (441882441).

Almost surely, 220225943000 is an apocalyptic number.

20225943000 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 20225943000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35350595280).

20225943000 is an abundant number, since it is smaller than the sum of its proper divisors (50475247560).

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

20225943000 is a wasteful number, since it uses less digits than its factorization.

20225943000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249736 (or 249713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20225943000 in words is "twenty billion, two hundred twenty-five million, nine hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 249703 499406 749109 998812 1248515 1498218 1997624 2247327 2497030 2996436 3745545 4494654 4994060 5992872 6242575 6741981 7491090 8989308 9988120 11236635 12485150 13483962 14982180 17978616 18727725 20225943 22473270 24970300 26967924 29964360 31212875 33709905 37455450 40451886 44946540 49940600 53935848 56183175 62425750 67419810 74910900 80903772 89893080 93638625 101129715 112366350 124851500 134839620 149821800 161807544 168549525 187277250 202259430 224732700 249703000 269679240 280915875 337099050 374554500 404518860 449465400 505648575 561831750 674198100 749109000 809037720 842747625 1011297150 1123663500 1348396200 1685495250 2022594300 2247327000 2528242875 3370990500 4045188600 5056485750 6741981000 10112971500 20225943000