Search a number
-
+
200222200201200 = 24352166851833501
BaseRepresentation
bin101101100001100111011101…
…000111100111111111110000
3222020221001111101111210221220
4231201213131013213333300
5202220420031222414300
61545500450422545040
760113401526003262
oct5541473507477760
9866831441453856
10200222200201200
1158884838260271
121a5584a1898180
138794b45a57a88
143762b402bbb32
15182338b4dada0
hexb619dd1e7ff0

200222200201200 has 60 divisors (see below), whose sum is σ = 641378447981688. Its totient is φ = 53392586720000.

The previous prime is 200222200201147. The next prime is 200222200201201. The reversal of 200222200201200 is 2102002222002.

It is a tau number, because it is divible by the number of its divisors (60).

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 200222200201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200222200201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83425915551 + ... + 83425917950.

Almost surely, 2200222200201200 is an apocalyptic number.

200222200201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200222200201200 is an abundant number, since it is smaller than the sum of its proper divisors (441156247780488).

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

200222200201200 is a wasteful number, since it uses less digits than its factorization.

200222200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166851833522 (or 166851833511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200222200201200 its reverse (2102002222002), we get a palindrome (202324202423202).

The spelling of 200222200201200 in words is "two hundred trillion, two hundred twenty-two billion, two hundred million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 166851833501 333703667002 500555500503 667407334004 834259167505 1001111001006 1334814668008 1668518335010 2002222002012 2502777502515 2669629336016 3337036670020 4004444004024 4171295837525 5005555005030 6674073340040 8008888008048 8342591675050 10011110010060 12513887512575 13348146680080 16685183350100 20022220020120 25027775025150 33370366700200 40044440040240 50055550050300 66740733400400 100111100100600 200222200201200