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2111224140 = 22325195910463
BaseRepresentation
bin111110111010110…
…1011100101001100
312110010122022001200
41331311223211030
513310433133030
6545254505500
7103214052264
oct17565534514
95403568050
102111224140
11993804a43
124ab065290
1327851a96c
1416056c7a4
15c5532d60
hex7dd6b94c

2111224140 has 144 divisors (see below), whose sum is σ = 6856012800. Its totient is φ = 524271744.

The previous prime is 2111224139. The next prime is 2111224151. The reversal of 2111224140 is 414221112.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196549 + ... + 207011.

It is an arithmetic number, because the mean of its divisors is an integer number (47611200).

Almost surely, 22111224140 is an apocalyptic number.

2111224140 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 2111224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428006400).

2111224140 is an abundant number, since it is smaller than the sum of its proper divisors (4744788660).

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

2111224140 is a wasteful number, since it uses less digits than its factorization.

2111224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2111224140 is about 45948.0591537880. The cubic root of 2111224140 is about 1282.8566043226.

Adding to 2111224140 its reverse (414221112), we get a palindrome (2525445252).

The spelling of 2111224140 in words is "two billion, one hundred eleven million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 59 60 76 90 95 114 118 171 177 180 190 228 236 285 295 342 354 380 531 570 590 684 708 855 885 1062 1121 1140 1180 1710 1770 2124 2242 2655 3363 3420 3540 4484 5310 5605 6726 10089 10463 10620 11210 13452 16815 20178 20926 22420 31389 33630 40356 41852 50445 52315 62778 67260 94167 100890 104630 125556 156945 188334 198797 201780 209260 313890 376668 397594 470835 596391 617317 627780 795188 941670 993985 1192782 1234634 1789173 1851951 1883340 1987970 2385564 2469268 2981955 3086585 3578346 3703902 3975940 5555853 5963910 6173170 7156692 7407804 8945865 9259755 11111706 11729023 11927820 12346340 17891730 18519510 22223412 23458046 27779265 35187069 35783460 37039020 46916092 55558530 58645115 70374138 105561207 111117060 117290230 140748276 175935345 211122414 234580460 351870690 422244828 527806035 703741380 1055612070 2111224140