Search a number
-
+
422401140 = 2232571372447
BaseRepresentation
bin11001001011010…
…101010001110100
31002102211012102200
4121023111101310
51331113314030
6105525304500
713316231130
oct3113252164
91072735380
10422401140
111a7486257
12b9565130
1369685905
14401563c0
152713ad60
hex192d5474

422401140 has 144 divisors (see below), whose sum is σ = 1475615232. Its totient is φ = 95804928.

The previous prime is 422401129. The next prime is 422401163. The reversal of 422401140 is 41104224.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 171397 + ... + 173843.

It is an arithmetic number, because the mean of its divisors is an integer number (10247328).

Almost surely, 2422401140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737807616).

422401140 is an abundant number, since it is smaller than the sum of its proper divisors (1053214092).

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

422401140 is a wasteful number, since it uses less digits than its factorization.

422401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422401140 is about 20552.3998598704. The cubic root of 422401140 is about 750.3116571418.

Adding to 422401140 its reverse (41104224), we get a palindrome (463505364).

The spelling of 422401140 in words is "four hundred twenty-two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 252 274 315 411 420 548 630 685 822 959 1233 1260 1370 1644 1918 2055 2447 2466 2740 2877 3836 4110 4795 4894 4932 5754 6165 7341 8220 8631 9590 9788 11508 12235 12330 14385 14682 17129 17262 19180 22023 24470 24660 28770 29364 34258 34524 36705 43155 44046 48940 51387 57540 68516 73410 85645 86310 88092 102774 110115 146820 154161 171290 172620 205548 220230 256935 308322 335239 342580 440460 513870 616644 670478 770805 1005717 1027740 1340956 1541610 1676195 2011434 2346673 3017151 3083220 3352390 4022868 4693346 5028585 6034302 6704780 7040019 9386692 10057170 11733365 12068604 14080038 15085755 20114340 21120057 23466730 28160076 30171510 35200095 42240114 46933460 60343020 70400190 84480228 105600285 140800380 211200570 422401140