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20205500 = 2253723251
BaseRepresentation
bin100110100010…
…0111110111100
31102000112201212
41031010332330
520133034000
62001023552
7333513110
oct115047674
942015655
1020205500
1110450767
126924bb8
134255b23
14297d740
151b91c35
hex1344fbc

20205500 has 96 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 6600000.

The previous prime is 20205487. The next prime is 20205517. The reversal of 20205500 is 550202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80375 + ... + 80625.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 220205500 is an apocalyptic number.

20205500 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 20205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

20205500 is an abundant number, since it is smaller than the sum of its proper divisors (32629828).

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

20205500 is a wasteful number, since it uses less digits than its factorization.

20205500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 20205500 is about 4495.0528361745. The cubic root of 20205500 is about 272.3682835645.

Adding to 20205500 its reverse (550202), we get a palindrome (20755702).

The spelling of 20205500 in words is "twenty million, two hundred five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 251 322 350 460 500 502 575 644 700 805 875 1004 1150 1255 1610 1750 1757 2300 2510 2875 3220 3500 3514 4025 5020 5750 5773 6275 7028 8050 8785 11500 11546 12550 16100 17570 20125 23092 25100 28865 31375 35140 40250 40411 43925 57730 62750 80500 80822 87850 115460 125500 144325 161644 175700 202055 219625 288650 404110 439250 577300 721625 808220 878500 1010275 1443250 2020550 2886500 4041100 5051375 10102750 20205500