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11222201200 = 245275967931
BaseRepresentation
bin10100111001110010…
…10011001101110000
31001222002112212222111
422130321103031300
5140440340414300
65053322415104
7545045064520
oct123471231560
931862485874
1011222201200
114839704951
122212361494
13109ac85c52
147865d1680
1545a3319ba
hex29ce53370

11222201200 has 120 divisors (see below), whose sum is σ = 31335672960. Its totient is φ = 3782342400.

The previous prime is 11222201183. The next prime is 11222201201. The reversal of 11222201200 is 210222211.

It is a happy number.

11222201200 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 not an unprimeable number, because it can be changed into a prime (11222201201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131235 + ... + 199165.

It is an arithmetic number, because the mean of its divisors is an integer number (261130608).

Almost surely, 211222201200 is an apocalyptic number.

11222201200 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 11222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667836480).

11222201200 is an abundant number, since it is smaller than the sum of its proper divisors (20113471760).

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

11222201200 is a wasteful number, since it uses less digits than its factorization.

11222201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68015 (or 68004 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11222201200 its reverse (210222211), we get a palindrome (11432423411).

The spelling of 11222201200 in words is "eleven billion, two hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 59 70 80 100 112 118 140 175 200 236 280 295 350 400 413 472 560 590 700 826 944 1180 1400 1475 1652 2065 2360 2800 2950 3304 4130 4720 5900 6608 8260 10325 11800 16520 20650 23600 33040 41300 67931 82600 135862 165200 271724 339655 475517 543448 679310 951034 1086896 1358620 1698275 1902068 2377585 2717240 3396550 3804136 4007929 4755170 5434480 6793100 7608272 8015858 9510340 11887925 13586200 16031716 19020680 20039645 23775850 27172400 28055503 32063432 38041360 40079290 47551700 56111006 64126864 80158580 95103400 100198225 112222012 140277515 160317160 190206800 200396450 224444024 280555030 320634320 400792900 448888048 561110060 701387575 801585800 1122220120 1402775150 1603171600 2244440240 2805550300 5611100600 11222201200