Search a number
-
+
2200052008 = 2371121771269
BaseRepresentation
bin1000001100100010…
…0010000100101000
312200022210012222201
42003020202010220
514001203131013
61002150425544
7105343063540
oct20310420450
95608705881
102200052008
11a29965700
125149622b4
13290a4c22b
1416c292320
15cd22c3dd
hex83222128

2200052008 has 192 divisors, whose sum is σ = 5584723200. Its totient is φ = 792422400.

The previous prime is 2200051981. The next prime is 2200052021. The reversal of 2200052008 is 8002500022.

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, 8178498 + ... + 8178766.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 22200052008 is an apocalyptic number.

2200052008 is a gapful number since it is divisible by the number (28) 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 2200052008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792361600).

2200052008 is an abundant number, since it is smaller than the sum of its proper divisors (3384671192).

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

2200052008 is a wasteful number, since it uses less digits than its factorization.

2200052008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2200052008 is about 46904.7120021006. The cubic root of 2200052008 is about 1300.6016954312.

The spelling of 2200052008 in words is "two billion, two hundred million, fifty-two thousand, eight".