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20331000 = 233453251
BaseRepresentation
bin100110110001…
…1100111111000
31102020220220000
41031203213320
520201043000
62003433000
7334545024
oct115434770
942226800
1020331000
1110526a88
126985760
13429aca1
1429b3384
151bb9000
hex13639f8

20331000 has 160 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 5400000.

The previous prime is 20330993. The next prime is 20331023. The reversal of 20331000 is 13302.

It is a happy number.

It is a super-2 number, since 2×203310002 = 826699122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80875 + ... + 81125.

Almost surely, 220331000 is an apocalyptic number.

20331000 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 20331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

20331000 is an abundant number, since it is smaller than the sum of its proper divisors (51020280).

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

20331000 is a wasteful number, since it uses less digits than its factorization.

20331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20331000 is about 4508.9910179551. The cubic root of 20331000 is about 272.9310295518.

Adding to 20331000 its reverse (13302), we get a palindrome (20344302).

The spelling of 20331000 in words is "twenty million, three hundred thirty-one 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 90 100 108 120 125 135 150 162 180 200 216 225 250 251 270 300 324 360 375 405 450 500 502 540 600 648 675 750 753 810 900 1000 1004 1080 1125 1255 1350 1500 1506 1620 1800 2008 2025 2250 2259 2510 2700 3000 3012 3240 3375 3765 4050 4500 4518 5020 5400 6024 6275 6750 6777 7530 8100 9000 9036 10040 10125 11295 12550 13500 13554 15060 16200 18072 18825 20250 20331 22590 25100 27000 27108 30120 31375 33885 37650 40500 40662 45180 50200 54216 56475 62750 67770 75300 81000 81324 90360 94125 101655 112950 125500 135540 150600 162648 169425 188250 203310 225900 251000 271080 282375 338850 376500 406620 451800 508275 564750 677700 753000 813240 847125 1016550 1129500 1355400 1694250 2033100 2259000 2541375 3388500 4066200 5082750 6777000 10165500 20331000