Search a number
-
+
11222300000 = 2555112223
BaseRepresentation
bin10100111001110011…
…01011010101100000
31001222002201220111202
422130321223111200
5140440402100000
65053324500332
7545045655542
oct123471532540
931862656452
1011222300000
1148397720aa
1222123aa6a8
13109acbbc02
14786619692
1545a350dd5
hex29ce6b560

11222300000 has 72 divisors (see below), whose sum is σ = 27615857472. Its totient is φ = 4488880000.

The previous prime is 11222299999. The next prime is 11222300039. The reversal of 11222300000 is 322211.

It is a happy number.

11222300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 43889 + ... + 156111.

It is an arithmetic number, because the mean of its divisors is an integer number (383553576).

Almost surely, 211222300000 is an apocalyptic number.

11222300000 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 11222300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807928736).

11222300000 is an abundant number, since it is smaller than the sum of its proper divisors (16393557472).

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

11222300000 is an frugal number, since it uses more digits than its factorization.

11222300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112258 (or 112230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11222300000 its reverse (322211), we get a palindrome (11222622211).

The spelling of 11222300000 in words is "eleven billion, two hundred twenty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 112223 224446 448892 561115 897784 1122230 1795568 2244460 2805575 3591136 4488920 5611150 8977840 11222300 14027875 17955680 22444600 28055750 44889200 56111500 70139375 89778400 112223000 140278750 224446000 280557500 350696875 448892000 561115000 701393750 1122230000 1402787500 2244460000 2805575000 5611150000 11222300000