Search a number
-
+
2212320320 = 26572321867
BaseRepresentation
bin1000001111011101…
…0101010001000000
312201011212111221122
42003313111101000
514012323222240
61003305411412
7105552261320
oct20367252100
95634774848
102212320320
11a35885001
12518a99b68
132934563a2
1416db67280
15ce3524b5
hex83dd5440

2212320320 has 168 divisors, whose sum is σ = 6297192384. Its totient is φ = 725142528.

The previous prime is 2212320307. The next prime is 2212320371. The reversal of 2212320320 is 230232122.

It is a super-2 number, since 2×22123203202 = 9788722396569804800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184027 + ... + 1185893.

It is an arithmetic number, because the mean of its divisors is an integer number (37483288).

Almost surely, 22212320320 is an apocalyptic number.

2212320320 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 2212320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148596192).

2212320320 is an abundant number, since it is smaller than the sum of its proper divisors (4084872064).

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

2212320320 is a wasteful number, since it uses less digits than its factorization.

2212320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2212320320 is about 47035.3092899366. The cubic root of 2212320320 is about 1303.0147625848.

Adding to 2212320320 its reverse (230232122), we get a palindrome (2442552442).

The spelling of 2212320320 in words is "two billion, two hundred twelve million, three hundred twenty thousand, three hundred twenty".