Search a number
-
+
11200002200 = 235219131149151
BaseRepresentation
bin10100110111001001…
…00111100010011000
31001220112210001200022
422123210213202120
5140414200032300
65051210530012
7544355306432
oct123344474230
931815701608
1011200002200
114828122472
122206a36908
1310964b294a
14783693652
154583e9285
hex29b927898

11200002200 has 192 divisors, whose sum is σ = 27989280000. Its totient is φ = 4155840000.

The previous prime is 11200002199. The next prime is 11200002227. The reversal of 11200002200 is 220000211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74172125 + ... + 74172275.

It is an arithmetic number, because the mean of its divisors is an integer number (145777500).

Almost surely, 211200002200 is an apocalyptic number.

11200002200 is a gapful number since it is divisible by the number (10) 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 11200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640000).

11200002200 is an abundant number, since it is smaller than the sum of its proper divisors (16789277800).

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

11200002200 is a wasteful number, since it uses less digits than its factorization.

11200002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 11200002200 its reverse (220000211), we get a palindrome (11420002411).

The spelling of 11200002200 in words is "eleven billion, two hundred million, two thousand, two hundred".