Search a number
-
+
2220111200 = 255219714087
BaseRepresentation
bin1000010001010100…
…0011010101100000
312201201112100000202
42010111003111200
514021322024300
61004144404332
7106005430256
oct20425032540
95651470022
102220111200
11a3a21644a
1251b6166a8
13294c53588
14170bd45d6
15ced90ad5
hex84543560

2220111200 has 72 divisors (see below), whose sum is σ = 5447745072. Its totient is φ = 883473920.

The previous prime is 2220111181. The next prime is 2220111217. The reversal of 2220111200 is 21110222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150557 + ... + 164643.

It is an arithmetic number, because the mean of its divisors is an integer number (75663126).

Almost surely, 22220111200 is an apocalyptic number.

2220111200 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 2220111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723872536).

2220111200 is an abundant number, since it is smaller than the sum of its proper divisors (3227633872).

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

2220111200 is a wasteful number, since it uses less digits than its factorization.

2220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2220111200 is about 47118.0559870630. The cubic root of 2220111200 is about 1304.5425308441.

Adding to 2220111200 its reverse (21110222), we get a palindrome (2241221422).

The spelling of 2220111200 in words is "two billion, two hundred twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 197 200 394 400 788 800 985 1576 1970 3152 3940 4925 6304 7880 9850 14087 15760 19700 28174 31520 39400 56348 70435 78800 112696 140870 157600 225392 281740 352175 450784 563480 704350 1126960 1408700 2253920 2775139 2817400 5550278 5634800 11100556 11269600 13875695 22201112 27751390 44402224 55502780 69378475 88804448 111005560 138756950 222011120 277513900 444022240 555027800 1110055600 2220111200