Search a number
-
+
2265647360 = 2856129017
BaseRepresentation
bin1000011100001011…
…0000100100000000
312211220012210220012
42013002300210000
514120001203420
61012452404052
7110100453614
oct20702604400
95756183805
102265647360
11a62998439
12532916628
132a1507c52
14176c89344
15d3d87dc5
hex870b0900

2265647360 has 72 divisors (see below), whose sum is σ = 5516089656. Its totient is φ = 891371520.

The previous prime is 2265647357. The next prime is 2265647393. The reversal of 2265647360 is 637465622.

It can be written as a sum of positive squares in 4 ways, for example, as 51380224 + 2214267136 = 7168^2 + 47056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63572 + ... + 92588.

Almost surely, 22265647360 is an apocalyptic number.

2265647360 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 2265647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758044828).

2265647360 is an abundant number, since it is smaller than the sum of its proper divisors (3250442296).

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

2265647360 is an equidigital number, since it uses as much as digits as its factorization.

2265647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29099 (or 29085 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 2265647360 is about 47598.8167920170. The cubic root of 2265647360 is about 1313.4012888529.

The spelling of 2265647360 in words is "two billion, two hundred sixty-five million, six hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 29017 39040 58034 78080 116068 145085 232136 290170 464272 580340 928544 1160680 1770037 1857088 2321360 3540074 3714176 4642720 7080148 7428352 8850185 9285440 14160296 17700370 18570880 28320592 35400740 37141760 56641184 70801480 113282368 141602960 226564736 283205920 453129472 566411840 1132823680 2265647360