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2260244340 = 22325291912267
BaseRepresentation
bin1000011010111000…
…1001011101110100
312211112001022100100
42012232021131310
514112110304330
61012140514100
7110003521434
oct20656113564
95745038310
102260244340
11a5a938032
12530b4b930
132a03658b3
141762802c4
15d366c060
hex86b89774

2260244340 has 144 divisors (see below), whose sum is σ = 7132769280. Its totient is φ = 578645760.

The previous prime is 2260244321. The next prime is 2260244341. The reversal of 2260244340 is 434420622.

2260244340 is a `hidden beast` number, since 22 + 60 + 244 + 340 = 666.

2260244340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260244341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995887 + ... + 998153.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 22260244340 is an apocalyptic number.

2260244340 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 2260244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2260244340 is an abundant number, since it is smaller than the sum of its proper divisors (4872524940).

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

2260244340 is a wasteful number, since it uses less digits than its factorization.

2260244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2260244340 is about 47542.0270918269. The cubic root of 2260244340 is about 1312.3564098698.

Adding to 2260244340 its reverse (434420622), we get a palindrome (2694664962).

The spelling of 2260244340 in words is "two billion, two hundred sixty million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 191 261 290 348 382 435 522 573 580 764 870 955 1044 1146 1305 1719 1740 1910 2267 2292 2610 2865 3438 3820 4534 5220 5539 5730 6801 6876 8595 9068 11078 11335 11460 13602 16617 17190 20403 22156 22670 27204 27695 33234 34005 34380 40806 45340 49851 55390 65743 66468 68010 81612 83085 99702 102015 110780 131486 136020 166170 197229 199404 204030 249255 262972 328715 332340 394458 408060 432997 498510 591687 657430 788916 865994 986145 997020 1183374 1298991 1314860 1731988 1972290 2164985 2366748 2597982 2958435 3896973 3944580 4329970 5195964 5916870 6494955 7793946 8659940 11833740 12556913 12989910 15587892 19484865 25113826 25979820 37670739 38969730 50227652 62784565 75341478 77939460 113012217 125569130 150682956 188353695 226024434 251138260 376707390 452048868 565061085 753414780 1130122170 2260244340