Search a number
-
+
11223220200 = 23352191935101
BaseRepresentation
bin10100111001111010…
…01011111111101000
31001222011110122210020
422130331023333220
5140441121021300
65053400320440
7545056540413
oct123475137750
931864418706
1011223220200
11483a2404a5
122212773120
13109b2519ca
147867b8b7a
1545a4838a0
hex29cf4bfe8

11223220200 has 192 divisors, whose sum is σ = 36820113600. Its totient is φ = 2820096000.

The previous prime is 11223220199. The next prime is 11223220271. The reversal of 11223220200 is 202232211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11223220200.

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, 2197650 + ... + 2202750.

It is an arithmetic number, because the mean of its divisors is an integer number (191771425).

Almost surely, 211223220200 is an apocalyptic number.

11223220200 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 11223220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410056800).

11223220200 is an abundant number, since it is smaller than the sum of its proper divisors (25596893400).

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

11223220200 is a wasteful number, since it uses less digits than its factorization.

11223220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11223220200 its reverse (202232211), we get a palindrome (11425452411).

The spelling of 11223220200 in words is "eleven billion, two hundred twenty-three million, two hundred twenty thousand, two hundred".