Search a number
-
+
2201232200112 = 2432113798294423
BaseRepresentation
bin100000000010000011101…
…010011101000110110000
321210102202122201210020200
4200002003222131012300
5242031110420400422
64403122045235200
7315014404661151
oct40020352350660
97712678653220
102201232200112
117795a0211190
122b6744262b00
1312c762c4022a
147877c483928
153c3d46ed2ac
hex20083a9d1b0

2201232200112 has 240 divisors, whose sum is σ = 6747813945600. Its totient is φ = 664327319040.

The previous prime is 2201232200087. The next prime is 2201232200201. The reversal of 2201232200112 is 2110022321022.

2201232200112 is a `hidden beast` number, since 220 + 1 + 232 + 200 + 1 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497676333 + ... + 497680755.

It is an arithmetic number, because the mean of its divisors is an integer number (28115891440).

Almost surely, 22201232200112 is an apocalyptic number.

2201232200112 is a gapful number since it is divisible by the number (22) 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 2201232200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373906972800).

2201232200112 is an abundant number, since it is smaller than the sum of its proper divisors (4546581745488).

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

2201232200112 is a wasteful number, since it uses less digits than its factorization.

2201232200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2201232200112 its reverse (2110022321022), we get a palindrome (4311254521134).

The spelling of 2201232200112 in words is "two trillion, two hundred one billion, two hundred thirty-two million, two hundred thousand, one hundred twelve".