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2222312130000 = 24325437667361
BaseRepresentation
bin100000010101101100001…
…000000000010111010000
321212110011202100011210200
4200111230020000113100
5242402243401130000
64420525513255200
7316361652300534
oct40255410002720
97773152304720
102222312130000
11787528297546
122ba847a04500
1313174228c521
14797bbd61bc4
153cc1a188500
hex2056c2005d0

2222312130000 has 300 divisors, whose sum is σ = 7981805682708. Its totient is φ = 576599040000.

The previous prime is 2222312129981. The next prime is 2222312130013. The reversal of 2222312130000 is 312132222.

2222312130000 is a `hidden beast` number, since 2 + 222 + 312 + 130 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 543971151936 + 1678340978064 = 737544^2 + 1295508^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2996320 + ... + 3663680.

Almost surely, 22222312130000 is an apocalyptic number.

2222312130000 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 2222312130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990902841354).

2222312130000 is an abundant number, since it is smaller than the sum of its proper divisors (5759493552708).

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

2222312130000 is a wasteful number, since it uses less digits than its factorization.

2222312130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667432 (or 667408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2222312130000 its reverse (312132222), we get a palindrome (2222624262222).

The spelling of 2222312130000 in words is "two trillion, two hundred twenty-two billion, three hundred twelve million, one hundred thirty thousand".