Search a number
-
+
2840319220 = 2252327722291
BaseRepresentation
bin1010100101001011…
…1101010011110100
321022221120011111011
42221102331103310
521304110203340
61145501522004
7130246213024
oct25122752364
97287504434
102840319220
111228316962
12673273304
133635a617b
141cd31ba84
151195510ea
hexa94bd4f4

2840319220 has 48 divisors (see below), whose sum is σ = 6246753408. Its totient is φ = 1082759040.

The previous prime is 2840319161. The next prime is 2840319227. The reversal of 2840319220 is 229130482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840319227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 116275 + ... + 138565.

It is an arithmetic number, because the mean of its divisors is an integer number (130140696).

Almost surely, 22840319220 is an apocalyptic number.

2840319220 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 2840319220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123376704).

2840319220 is an abundant number, since it is smaller than the sum of its proper divisors (3406434188).

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

2840319220 is a wasteful number, since it uses less digits than its factorization.

2840319220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2840319220 is about 53294.6453220209. The cubic root of 2840319220 is about 1416.1928069300.

The spelling of 2840319220 in words is "two billion, eight hundred forty million, three hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 554 1108 1385 2770 5540 6371 12742 22291 25484 31855 44582 63710 89164 111455 127420 222910 445820 512693 1025386 2050772 2563465 5126930 6174607 10253860 12349214 24698428 30873035 61746070 123492140 142015961 284031922 568063844 710079805 1420159610 2840319220