Search a number
-
+
2012400200 = 235219529579
BaseRepresentation
bin111011111110010…
…1100101001001000
312012020200112002202
41313330230221020
513110133301300
6531404415332
7100604055656
oct16774545110
95166615082
102012400200
11942a47068
12481b47548
13260bc9565
141513a5dd6
15bba11ad5
hex77f2ca48

2012400200 has 48 divisors (see below), whose sum is σ = 4925094000. Its totient is φ = 762592320.

The previous prime is 2012400199. The next prime is 2012400209. The reversal of 2012400200 is 20042102.

It is not an unprimeable number, because it can be changed into a prime (2012400209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260990 + ... + 268589.

It is an arithmetic number, because the mean of its divisors is an integer number (102606125).

Almost surely, 22012400200 is an apocalyptic number.

2012400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012400200 is an abundant number, since it is smaller than the sum of its proper divisors (2912693800).

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

2012400200 is a wasteful number, since it uses less digits than its factorization.

2012400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529614 (or 529605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2012400200 is about 44859.7837712132. The cubic root of 2012400200 is about 1262.5195657524.

Adding to 2012400200 its reverse (20042102), we get a palindrome (2032442302).

The spelling of 2012400200 in words is "two billion, twelve million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 529579 1059158 2118316 2647895 4236632 5295790 10062001 10591580 13239475 20124002 21183160 26478950 40248004 50310005 52957900 80496008 100620010 105915800 201240020 251550025 402480040 503100050 1006200100 2012400200