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200012320 = 25510112377
BaseRepresentation
bin10111110101111…
…11001000100000
3111221100200022201
423322333020200
5402200343240
631502542544
74646035204
oct1372771040
9457320281
10200012320
11a29a1242
1256b97a54
133258cab1
141c7c6b04
151285cd9a
hexbebf220

200012320 has 48 divisors (see below), whose sum is σ = 477246168. Its totient is φ = 79206400.

The previous prime is 200012317. The next prime is 200012357. The reversal of 200012320 is 23210002.

200012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170981776 + 29030544 = 13076^2 + 5388^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200012297 and 200012306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9972 + ... + 22348.

Almost surely, 2200012320 is an apocalyptic number.

200012320 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 200012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238623084).

200012320 is an abundant number, since it is smaller than the sum of its proper divisors (277233848).

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

200012320 is a wasteful number, since it uses less digits than its factorization.

200012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200012320 is about 14142.5711948005. The cubic root of 200012320 is about 584.8155553622.

Adding to 200012320 its reverse (23210002), we get a palindrome (223222322).

The spelling of 200012320 in words is "two hundred million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 12377 16160 24754 49508 61885 99016 123770 198032 247540 396064 495080 990160 1250077 1980320 2500154 5000308 6250385 10000616 12500770 20001232 25001540 40002464 50003080 100006160 200012320