Search a number
-
+
2201202120 = 23351323311979
BaseRepresentation
bin1000001100110011…
…1010110111001000
312200101221122122110
42003030322313020
514002001431440
61002231222320
7105355623615
oct20314726710
95611848573
102201202120
11a2a580807
125152179a0
13291062880
1416c4b150c
15cd3a8080
hex8333adc8

2201202120 has 256 divisors, whose sum is σ = 7664025600. Its totient is φ = 501304320.

The previous prime is 2201202077. The next prime is 2201202161. The reversal of 2201202120 is 212021022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201202096 and 2201202105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1111291 + ... + 1113269.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 22201202120 is an apocalyptic number.

2201202120 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 2201202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2201202120 is an abundant number, since it is smaller than the sum of its proper divisors (5462823480).

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

2201202120 is a wasteful number, since it uses less digits than its factorization.

2201202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2201202120 is about 46916.9704904313. The cubic root of 2201202120 is about 1300.8282926556.

Adding to 2201202120 its reverse (212021022), we get a palindrome (2413223142).

The spelling of 2201202120 in words is "two billion, two hundred one million, two hundred two thousand, one hundred twenty".