Search a number
-
+
200700700200 = 233252711132329167
BaseRepresentation
bin1011101011101010110…
…0011010011000101000
3201012001011202221110200
42322322230122120220
511242013334401300
6232111200312200
720333356542510
oct2727254323050
9635034687420
10200700700200
1178131349680
1232a92312660
1315c06545190
1499dd19c840
155349c34200
hex2ebab1a628

200700700200 has 2304 divisors, whose sum is σ = 982737100800. Its totient is φ = 35339673600.

The previous prime is 200700700199. The next prime is 200700700217. The reversal of 200700700200 is 2007007002.

200700700200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1201800517 + ... + 1201800683.

It is an arithmetic number, because the mean of its divisors is an integer number (426535200).

Almost surely, 2200700700200 is an apocalyptic number.

200700700200 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 200700700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491368550400).

200700700200 is an abundant number, since it is smaller than the sum of its proper divisors (782036400600).

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

200700700200 is a wasteful number, since it uses less digits than its factorization.

200700700200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

Adding to 200700700200 its reverse (2007007002), we get a palindrome (202707707202).

200700700200 divided by its reverse (2007007002) gives a square (100 = 102).

The spelling of 200700700200 in words is "two hundred billion, seven hundred million, seven hundred thousand, two hundred".