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20205200 = 245250513
BaseRepresentation
bin100110100010…
…0111010010000
31102000112022202
41031010322100
520133031300
62001022332
7333512201
oct115047220
942015282
1020205200
1110450514
1269249a8
134255952
14297d5a8
151b91ad5
hex1344e90

20205200 has 30 divisors (see below), whose sum is σ = 48543954. Its totient is φ = 8081920.

The previous prime is 20205193. The next prime is 20205223. The reversal of 20205200 is 250202.

Adding to 20205200 its reverse (250202), we get a palindrome (20455402).

It can be written as a sum of positive squares in 3 ways, for example, as 4963984 + 15241216 = 2228^2 + 3904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24857 + ... + 25656.

Almost surely, 220205200 is an apocalyptic number.

20205200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20205200 is an abundant number, since it is smaller than the sum of its proper divisors (28338754).

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

20205200 is a wasteful number, since it uses less digits than its factorization.

20205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50531 (or 50520 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 20205200 is about 4495.0194660313. The cubic root of 20205200 is about 272.3669355670.

The spelling of 20205200 in words is "twenty million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50513 101026 202052 252565 404104 505130 808208 1010260 1262825 2020520 2525650 4041040 5051300 10102600 20205200