Search a number
-
+
2243521140 = 2235719214797
BaseRepresentation
bin1000010110111001…
…0110101001110100
312210100120200102120
42011232112221310
514043320134030
61010342235540
7106411420650
oct20556265164
95710520376
102243521140
11a51455703
12527425bb0
13299a5bb03
14173d69a60
15d1e67010
hex85b96a74

2243521140 has 144 divisors (see below), whose sum is σ = 7577523072. Its totient is φ = 485782272.

The previous prime is 2243521139. The next prime is 2243521157. The reversal of 2243521140 is 411253422.

2243521140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2243521140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144222 + ... + 159018.

It is an arithmetic number, because the mean of its divisors is an integer number (52621688).

Almost surely, 22243521140 is an apocalyptic number.

2243521140 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 2243521140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788761536).

2243521140 is an abundant number, since it is smaller than the sum of its proper divisors (5334001932).

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

2243521140 is a wasteful number, since it uses less digits than its factorization.

2243521140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14854 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2243521140 is about 47365.8224883724. The cubic root of 2243521140 is about 1309.1117533946. Note that the first 3 decimals are identical.

Adding to 2243521140 its reverse (411253422), we get a palindrome (2654774562).

The spelling of 2243521140 in words is "two billion, two hundred forty-three million, five hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1596 1805 1995 2166 2527 2660 3610 3990 4332 5054 5415 7220 7581 7980 10108 10830 12635 14797 15162 21660 25270 29594 30324 37905 44391 50540 59188 73985 75810 88782 103579 147970 151620 177564 207158 221955 281143 295940 310737 414316 443910 517895 562286 621474 843429 887820 1035790 1124572 1242948 1405715 1553685 1686858 1968001 2071580 2811430 3107370 3373716 3936002 4217145 5341717 5622860 5904003 6214740 7872004 8434290 9840005 10683434 11808006 16025151 16868580 19680010 21366868 23616012 26708585 29520015 32050302 37392019 39360020 53417170 59040030 64100604 74784038 80125755 106834340 112176057 118080060 149568076 160251510 186960095 224352114 320503020 373920190 448704228 560880285 747840380 1121760570 2243521140