Search a number
-
+
224531340 = 2235112911731
BaseRepresentation
bin11010110001000…
…01001110001100
3120122111101002120
431120201032030
5424440000330
634140252540
75364325215
oct1530411614
9518441076
10224531340
111058187a0
1263241150
13376960a7
1421b6a40c
1514aa2c10
hexd62138c

224531340 has 96 divisors (see below), whose sum is σ = 709551360. Its totient is φ = 52550400.

The previous prime is 224531317. The next prime is 224531347. The reversal of 224531340 is 43135422.

It is a self number, because there is not a number n which added to its sum of digits gives 224531340.

It is not an unprimeable number, because it can be changed into a prime (224531347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13275 + ... + 25005.

It is an arithmetic number, because the mean of its divisors is an integer number (7391160).

Almost surely, 2224531340 is an apocalyptic number.

224531340 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 224531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354775680).

224531340 is an abundant number, since it is smaller than the sum of its proper divisors (485020020).

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

224531340 is a wasteful number, since it uses less digits than its factorization.

224531340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 224531340 is about 14984.3698566206. The cubic root of 224531340 is about 607.7976119716.

Adding to 224531340 its reverse (43135422), we get a palindrome (267666762).

The spelling of 224531340 in words is "two hundred twenty-four million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 11731 19140 23462 35193 46924 58655 70386 117310 129041 140772 175965 234620 258082 340199 351930 387123 516164 645205 680398 703860 774246 1020597 1290410 1360796 1548492 1700995 1935615 2041194 2580820 3401990 3742189 3871230 4082388 5102985 6803980 7484378 7742460 10205970 11226567 14968756 18710945 20411940 22453134 37421890 44906268 56132835 74843780 112265670 224531340