Search a number
-
+
224543040 = 26351511549
BaseRepresentation
bin11010110001001…
…00000101000000
3120122111222010220
431120210011000
5424440334130
634140423040
75364404301
oct1530440500
9518458126
10224543040
11105826567
1263247a80
133769b507
1421b707a8
1514aa6410
hexd624140

224543040 has 112 divisors (see below), whose sum is σ = 718108800. Its totient is φ = 59443200.

The previous prime is 224543029. The next prime is 224543051. The reversal of 224543040 is 40345422.

It is an interprime number because it is at equal distance from previous prime (224543029) and next prime (224543051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224543040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144186 + ... + 145734.

Almost surely, 2224543040 is an apocalyptic number.

224543040 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 224543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359054400).

224543040 is an abundant number, since it is smaller than the sum of its proper divisors (493565760).

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

224543040 is a wasteful number, since it uses less digits than its factorization.

224543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 224543040 is about 14984.7602583425. The cubic root of 224543040 is about 607.8081689367.

Adding to 224543040 its reverse (40345422), we get a palindrome (264888462).

The spelling of 224543040 in words is "two hundred twenty-four million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 151 160 192 240 302 320 453 480 604 755 906 960 1208 1510 1549 1812 2265 2416 3020 3098 3624 4530 4647 4832 6040 6196 7248 7745 9060 9294 9664 12080 12392 14496 15490 18120 18588 23235 24160 24784 28992 30980 36240 37176 46470 48320 49568 61960 72480 74352 92940 99136 123920 144960 148704 185880 233899 247840 297408 371760 467798 495680 701697 743520 935596 1169495 1403394 1487040 1871192 2338990 2806788 3508485 3742384 4677980 5613576 7016970 7484768 9355960 11227152 14033940 14969536 18711920 22454304 28067880 37423840 44908608 56135760 74847680 112271520 224543040