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2260200240 = 243351046389
BaseRepresentation
bin1000011010110111…
…1110101100110000
312211111222001212000
42012231332230300
514112102401430
61012135534000
7110003246034
oct20655765460
95744861760
102260200240
11a5a907991
12530b2a300
132a034b7bc
1417626c1c4
15d365de60
hex86b7eb30

2260200240 has 80 divisors (see below), whose sum is σ = 7785141600. Its totient is φ = 602719488.

The previous prime is 2260200223. The next prime is 2260200251. The reversal of 2260200240 is 420020622.

It is a happy number.

2260200240 is a `hidden beast` number, since 22 + 602 + 0 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 521035 + ... + 525354.

It is an arithmetic number, because the mean of its divisors is an integer number (97314270).

Almost surely, 22260200240 is an apocalyptic number.

2260200240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260200240 is an abundant number, since it is smaller than the sum of its proper divisors (5524941360).

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

2260200240 is a wasteful number, since it uses less digits than its factorization.

2260200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046411 (or 1046399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2260200240 is about 47541.5632893997. The cubic root of 2260200240 is about 1312.3478746135.

Adding to 2260200240 its reverse (420020622), we get a palindrome (2680220862).

It can be divided in two parts, 2260 and 200240, that added together give a square (202500 = 4502).

The spelling of 2260200240 in words is "two billion, two hundred sixty million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1046389 2092778 3139167 4185556 5231945 6278334 8371112 9417501 10463890 12556668 15695835 16742224 18835002 20927780 25113336 28252503 31391670 37670004 41855560 47087505 50226672 56505006 62783340 75340008 83711120 94175010 113010012 125566680 141262515 150680016 188350020 226020024 251133360 282525030 376700040 452040048 565050060 753400080 1130100120 2260200240