Search a number
-
+
3001033222200 = 23335213151283111
BaseRepresentation
bin101011101010111011100…
…001001110100000111000
3101121220012011110101212000
4223222323201032200320
5343132104001102300
610214353341021000
7426550254333516
oct53527341164070
911556164411760
103001033222200
11a57805020922
12405753b54760
13189cc48cc8a0
14a53722114b6
15530e52d8c00
hex2babb84e838

3001033222200 has 384 divisors, whose sum is σ = 11205799449600. Its totient is φ = 733821120000.

The previous prime is 3001033222151. The next prime is 3001033222237. The reversal of 3001033222200 is 22223301003.

It is a happy number.

3001033222200 is a `hidden beast` number, since 300 + 10 + 332 + 2 + 2 + 20 + 0 = 666.

3001033222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30010332222002 (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10458645 + ... + 10741755.

It is an arithmetic number, because the mean of its divisors is an integer number (29181769400).

Almost surely, 23001033222200 is an apocalyptic number.

3001033222200 is a gapful number since it is divisible by the number (30) 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 3001033222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602899724800).

3001033222200 is an abundant number, since it is smaller than the sum of its proper divisors (8204766227400).

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

3001033222200 is a wasteful number, since it uses less digits than its factorization.

3001033222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283300 (or 283285 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3001033222200 its reverse (22223301003), we get a palindrome (3023256523203).

The spelling of 3001033222200 in words is "three trillion, one billion, thirty-three million, two hundred twenty-two thousand, two hundred".