Search a number
-
+
2242673620 = 2251147892437
BaseRepresentation
bin1000010110101100…
…0111101111010100
312210021222121211221
42011223013233110
514043111023440
61010312140124
7106401261025
oct20553075724
95707877757
102242673620
11a50a26980
12527097644
13299823115
14173bc8c4c
15d1d4ad4a
hex85ac7bd4

2242673620 has 96 divisors (see below), whose sum is σ = 5308208640. Its totient is φ = 788874240.

The previous prime is 2242673539. The next prime is 2242673681. The reversal of 2242673620 is 263762422.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 919042 + ... + 921478.

It is an arithmetic number, because the mean of its divisors is an integer number (55293840).

Almost surely, 22242673620 is an apocalyptic number.

2242673620 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 2242673620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654104320).

2242673620 is an abundant number, since it is smaller than the sum of its proper divisors (3065535020).

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

2242673620 is a wasteful number, since it uses less digits than its factorization.

2242673620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2242673620 is about 47356.8751080559. The cubic root of 2242673620 is about 1308.9468878310.

The spelling of 2242673620 in words is "two billion, two hundred forty-two million, six hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 89 94 110 178 188 220 235 356 445 470 517 890 940 979 1034 1780 1958 2068 2437 2585 3916 4183 4874 4895 5170 8366 9748 9790 10340 12185 16732 19580 20915 24370 26807 41830 46013 48740 53614 83660 92026 107228 114539 134035 184052 216893 229078 230065 268070 433786 458156 460130 536140 572695 867572 920260 1084465 1145390 1259929 2168930 2290780 2385823 2519858 4337860 4771646 5039716 6299645 9543292 10193971 11929115 12599290 20387942 23858230 25198580 40775884 47716460 50969855 101939710 112133681 203879420 224267362 448534724 560668405 1121336810 2242673620