Search a number
-
+
2225457245620 = 2257317241720747
BaseRepresentation
bin100000011000100111100…
…101101010110110110100
321212202021221102121100101
4200120213211222312310
5242430214023324440
64422205544123444
7316532622321040
oct40304745526664
97782257377311
102225457245620
117888a1663454
122bb385166584
13131b23a5269b
14799d9941020
153cd5134469a
hex2062796adb4

2225457245620 has 96 divisors (see below), whose sum is σ = 5360421411072. Its totient is φ = 760255592448.

The previous prime is 2225457245593. The next prime is 2225457245639. The reversal of 2225457245620 is 265427545222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107256087 + ... + 107276833.

It is an arithmetic number, because the mean of its divisors is an integer number (55837723032).

Almost surely, 22225457245620 is an apocalyptic number.

2225457245620 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 2225457245620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680210705536).

2225457245620 is an abundant number, since it is smaller than the sum of its proper divisors (3134964165452).

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

2225457245620 is a wasteful number, since it uses less digits than its factorization.

2225457245620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23497 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 46.

The spelling of 2225457245620 in words is "two trillion, two hundred twenty-five billion, four hundred fifty-seven million, two hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1268 1585 2219 2417 3170 4438 4834 6340 8876 9668 11095 12085 16919 20747 22190 24170 33838 41494 44380 48340 67676 82988 84595 103735 145229 169190 207470 290458 338380 414940 580916 726145 766189 1452290 1532378 2904580 3064756 3830945 5363323 6576799 7661890 10726646 13153598 15323780 21453292 26307196 26816615 32883995 46037593 50145499 53633230 65767990 92075186 100290998 107266460 131535980 184150372 200581996 230187965 250727495 351018493 460375930 501454990 702036986 920751860 1002909980 1404073972 1755092465 3510184930 7020369860 15896123183 31792246366 63584492732 79480615915 111272862281 158961231830 222545724562 317922463660 445091449124 556364311405 1112728622810 2225457245620