Search a number
-
+
11222032200 = 2335218703387
BaseRepresentation
bin10100111001110001…
…01001111101001000
31001222002020022011020
422130320221331020
5140440320012300
65053315032440
7545043462021
oct123470517510
931862208136
1011222032200
1148395a9985
12221229b720
13109ac27052
14786589c48
1545a2eb8a0
hex29ce29f48

11222032200 has 48 divisors (see below), whose sum is σ = 34788301680. Its totient is φ = 2992541760.

The previous prime is 11222032169. The next prime is 11222032243. The reversal of 11222032200 is 223022211.

It is a happy number.

11222032200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222032200.

It is an unprimeable number.

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, 9351094 + ... + 9352293.

It is an arithmetic number, because the mean of its divisors is an integer number (724756285).

Almost surely, 211222032200 is an apocalyptic number.

11222032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222032200 is an abundant number, since it is smaller than the sum of its proper divisors (23566269480).

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

11222032200 is a wasteful number, since it uses less digits than its factorization.

11222032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703406 (or 18703397 counting only the distinct ones).

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

Adding to 11222032200 its reverse (223022211), we get a palindrome (11445054411).

The spelling of 11222032200 in words is "eleven billion, two hundred twenty-two million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 18703387 37406774 56110161 74813548 93516935 112220322 149627096 187033870 224440644 280550805 374067740 448881288 467584675 561101610 748135480 935169350 1122203220 1402754025 1870338700 2244406440 2805508050 3740677400 5611016100 11222032200