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11222401220200 = 23521921371381967
BaseRepresentation
bin1010001101001110101100…
…1111001111111001101000
31110201211222102210020221001
42203103223033033321220
52432331434203021300
635511255553324344
72235535364312242
oct243235317177150
943654872706831
1011222401220200
113637436a15435
121312b875666b4
13635363742cc1
142ab24a7d9092
15146dc15b216a
hexa34eb3cfe68

11222401220200 has 96 divisors (see below), whose sum is σ = 27478222531200. Its totient is φ = 4250706301440.

The previous prime is 11222401220167. The next prime is 11222401220201. The reversal of 11222401220200 is 202210422211.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11222401220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7429617 + ... + 8811583.

It is an arithmetic number, because the mean of its divisors is an integer number (286231484700).

Almost surely, 211222401220200 is an apocalyptic number.

11222401220200 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 11222401220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739111265600).

11222401220200 is an abundant number, since it is smaller than the sum of its proper divisors (16255821311000).

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

11222401220200 is a wasteful number, since it uses less digits than its factorization.

11222401220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384139 (or 1384130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11222401220200 its reverse (202210422211), we get a palindrome (11424611642411).

The spelling of 11222401220200 in words is "eleven trillion, two hundred twenty-two billion, four hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2137 3800 4274 8548 10685 17096 21370 40603 42740 53425 81206 85480 106850 162412 203015 213700 324824 406030 427400 812060 1015075 1381967 1624120 2030150 2763934 4060300 5527868 6909835 8120600 11055736 13819670 26257373 27639340 34549175 52514746 55278680 69098350 105029492 131286865 138196700 210058984 262573730 276393400 525147460 656434325 1050294920 1312868650 2625737300 2953263479 5251474600 5906526958 11813053916 14766317395 23626107832 29532634790 56112006101 59065269580 73831586975 112224012202 118130539160 147663173950 224448024404 280560030505 295326347900 448896048808 561120061010 590652695800 1122240122020 1402800152525 2244480244040 2805600305050 5611200610100 11222401220200