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2240355240 = 233354314813
BaseRepresentation
bin1000010110001001…
…0001101110101000
312210010121211122000
42011202101232220
514042012331430
61010150331000
7106342463634
oct20542215650
95703554560
102240355240
11a4a693062
12526359a60
132991c0ab6
14173783dc4
15d1a3de60
hex85891ba8

2240355240 has 128 divisors (see below), whose sum is σ = 7486732800. Its totient is φ = 595918080.

The previous prime is 2240355223. The next prime is 2240355253. The reversal of 2240355240 is 425530422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463074 + ... + 467886.

It is an arithmetic number, because the mean of its divisors is an integer number (58490100).

Almost surely, 22240355240 is an apocalyptic number.

2240355240 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 2240355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743366400).

2240355240 is an abundant number, since it is smaller than the sum of its proper divisors (5246377560).

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

2240355240 is a wasteful number, since it uses less digits than its factorization.

2240355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2240355240 is about 47332.3910234841. The cubic root of 2240355240 is about 1308.4956878953.

Adding to 2240355240 its reverse (425530422), we get a palindrome (2665885662).

The spelling of 2240355240 in words is "two billion, two hundred forty million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 431 540 862 1080 1293 1724 2155 2586 3448 3879 4310 4813 5172 6465 7758 8620 9626 10344 11637 12930 14439 15516 17240 19252 19395 23274 24065 25860 28878 31032 38504 38790 43317 46548 48130 51720 57756 58185 72195 77580 86634 93096 96260 115512 116370 129951 144390 155160 173268 192520 216585 232740 259902 288780 346536 433170 465480 519804 577560 649755 866340 1039608 1299510 1732680 2074403 2599020 4148806 5198040 6223209 8297612 10372015 12446418 16595224 18669627 20744030 24892836 31116045 37339254 41488060 49785672 56008881 62232090 74678508 82976120 93348135 112017762 124464180 149357016 186696270 224035524 248928360 280044405 373392540 448071048 560088810 746785080 1120177620 2240355240