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2112025440 = 25357289797
BaseRepresentation
bin111110111100010…
…1111001101100000
312110012011000020110
41331320233031200
513311134303230
6545324011320
7103223630400
oct17570571540
95405130213
102112025440
11994201a78
124ab390b40
1327873b5c5
141606da800
15c56404b0
hex7de2f360

2112025440 has 144 divisors (see below), whose sum is σ = 7739150832. Its totient is φ = 482743296.

The previous prime is 2112025397. The next prime is 2112025463. The reversal of 2112025440 is 445202112.

2112025440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21379 + ... + 68418.

It is an arithmetic number, because the mean of its divisors is an integer number (53744103).

Almost surely, 22112025440 is an apocalyptic number.

2112025440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112025440 is an abundant number, since it is smaller than the sum of its proper divisors (5627125392).

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

2112025440 is a wasteful number, since it uses less digits than its factorization.

2112025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89829 (or 89814 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2112025440 is about 45956.7779549437. Note that the first 3 decimals coincide. The cubic root of 2112025440 is about 1283.0188834722.

Adding to 2112025440 its reverse (445202112), we get a palindrome (2557227552).

The spelling of 2112025440 in words is "two billion, one hundred twelve million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 89797 179594 269391 359188 448985 538782 628579 718376 897970 1077564 1257158 1346955 1436752 1795940 1885737 2155128 2514316 2693910 2873504 3142895 3591880 3771474 4310256 4400053 5028632 5387820 6285790 7183760 7542948 8620512 8800106 9428685 10057264 10775640 12571580 13200159 14367520 15085896 17600212 18857370 20114528 21551280 22000265 25143160 26400318 30171792 35200424 37714740 43102560 44000530 50286320 52800636 60343584 66000795 70400848 75429480 88001060 100572640 105601272 132001590 140801696 150858960 176002120 211202544 264003180 301717920 352004240 422405088 528006360 704008480 1056012720 2112025440