Search a number
-
+
2223322201200 = 2435229711316869
BaseRepresentation
bin100000010110101000010…
…101000111110001110000
321212112210010222010000010
4200112220111013301300
5242411330440414300
64421214034454520
7316425665615532
oct40265025076160
97775703863003
102223322201200
117879a6469a31
122baa8a134440
131318736147a9
1479876171852
153cc78ba8a50
hex205a8547c70

2223322201200 has 480 divisors, whose sum is σ = 7529528793600. Its totient is φ = 559989248000.

The previous prime is 2223322201189. The next prime is 2223322201207. The reversal of 2223322201200 is 21022233222.

It is a super-2 number, since 2×22233222012002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223322201207) 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 95 ways as a sum of consecutive naturals, for example, 323671366 + ... + 323678234.

It is an arithmetic number, because the mean of its divisors is an integer number (15686518320).

Almost surely, 22223322201200 is an apocalyptic number.

2223322201200 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 2223322201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764764396800).

2223322201200 is an abundant number, since it is smaller than the sum of its proper divisors (5306206592400).

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

2223322201200 is a wasteful number, since it uses less digits than its factorization.

2223322201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2223322201200 its reverse (21022233222), we get a palindrome (2244344434422).

The spelling of 2223322201200 in words is "two trillion, two hundred twenty-three billion, three hundred twenty-two million, two hundred one thousand, two hundred".