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205330140 = 2236514083
BaseRepresentation
bin11000011110100…
…01011011011100
3112022100212000000
430033101123130
5410031031030
632212534300
75042164101
oct1417213334
9468325000
10205330140
11a59a3634
1258921390
1333702432
141d3acaa8
151305d860
hexc3d16dc

205330140 has 84 divisors (see below), whose sum is σ = 646540104. Its totient is φ = 54750816.

The previous prime is 205330127. The next prime is 205330141. The reversal of 205330140 is 41033502.

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 (205330141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7539 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (7696906).

Almost surely, 2205330140 is an apocalyptic number.

205330140 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 205330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323270052).

205330140 is an abundant number, since it is smaller than the sum of its proper divisors (441209964).

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

205330140 is a wasteful number, since it uses less digits than its factorization.

205330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14110 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205330140 is about 14329.3454142190. The cubic root of 205330140 is about 589.9532089676.

Adding to 205330140 its reverse (41033502), we get a palindrome (246363642).

The spelling of 205330140 in words is "two hundred five million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14083 14580 28166 42249 56332 70415 84498 126747 140830 168996 211245 253494 281660 380241 422490 506988 633735 760482 844980 1140723 1267470 1520964 1901205 2281446 2534940 3422169 3802410 4562892 5703615 6844338 7604820 10266507 11407230 13688676 17110845 20533014 22814460 34221690 41066028 51332535 68443380 102665070 205330140