Search a number
-
+
2222200200000 = 26355112314639
BaseRepresentation
bin100000010101100101011…
…101000001101101000000
321212102212221201112201010
4200111211131001231000
5242402031222400000
64420510434240520
7316356123020154
oct40254535015500
97772787645633
102222200200000
11787480097910
122ba816426140
1313172502c861
14797ab147064
153cc10428d50
hex20565741b40

2222200200000 has 672 divisors, whose sum is σ = 8366224527360. Its totient is φ = 515257600000.

The previous prime is 2222200199983. The next prime is 2222200200007. The reversal of 2222200200000 is 20022222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222200200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151792681 + ... + 151807319.

It is an arithmetic number, because the mean of its divisors is an integer number (12449738880).

Almost surely, 22222200200000 is an apocalyptic number.

2222200200000 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 2222200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183112263680).

2222200200000 is an abundant number, since it is smaller than the sum of its proper divisors (6144024327360).

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

2222200200000 is a wasteful number, since it uses less digits than its factorization.

2222200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2222200200000 its reverse (20022222), we get a palindrome (2222220222222).

The spelling of 2222200200000 in words is "two trillion, two hundred twenty-two billion, two hundred million, two hundred thousand".