Search a number
-
+
2208679003080 = 23335112191098161
BaseRepresentation
bin100000001000111111100…
…001110000001111001000
321211010222122012120111000
4200020333201300033020
5242141333311044310
64410353024135000
7315400060523034
oct40107741601710
97733878176430
102208679003080
11781771798500
122b8082167460
1313037b993914
1478c874a91c4
153c6bd3734c0
hex2023f8703c8

2208679003080 has 768 divisors, whose sum is σ = 8597524320000. Its totient is φ = 502541107200.

The previous prime is 2208679003043. The next prime is 2208679003127. The reversal of 2208679003080 is 803009768022.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270634200 + ... + 270642360.

It is an arithmetic number, because the mean of its divisors is an integer number (11194693125).

Almost surely, 22208679003080 is an apocalyptic number.

2208679003080 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 2208679003080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298762160000).

2208679003080 is an abundant number, since it is smaller than the sum of its proper divisors (6388845316920).

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

2208679003080 is a wasteful number, since it uses less digits than its factorization.

2208679003080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2208679003080 in words is "two trillion, two hundred eight billion, six hundred seventy-nine million, three thousand, eighty".