Search a number
-
+
224311340 = 2251119103521
BaseRepresentation
bin11010101111010…
…11100000101100
3120122002012022102
431113223200230
5424410430330
634131434232
75362420631
oct1527534054
9518065272
10224311340
11105688480
1263155978
1337619c06
1421b10188
1514a5c945
hexd5eb82c

224311340 has 96 divisors (see below), whose sum is σ = 547223040. Its totient is φ = 76377600.

The previous prime is 224311331. The next prime is 224311343. The reversal of 224311340 is 43113422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (224311343) 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, 430280 + ... + 430800.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2224311340 is an apocalyptic number.

224311340 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 224311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

224311340 is an abundant number, since it is smaller than the sum of its proper divisors (322911700).

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

224311340 is a wasteful number, since it uses less digits than its factorization.

224311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 224311340 is about 14977.0270748236. The cubic root of 224311340 is about 607.5990366179.

Adding to 224311340 its reverse (43113422), we get a palindrome (267424762).

It can be divided in two parts, 2 and 24311340, that added together give a palindrome (24311342).

The spelling of 224311340 in words is "two hundred twenty-four million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 103 110 190 206 209 220 380 412 418 515 521 836 1030 1042 1045 1133 1957 2060 2084 2090 2266 2605 3914 4180 4532 5210 5665 5731 7828 9785 9899 10420 11330 11462 19570 19798 21527 22660 22924 28655 39140 39596 43054 49495 53663 57310 86108 98990 107326 107635 108889 114620 197980 214652 215270 217778 268315 430540 435556 536630 544445 590293 1019597 1073260 1088890 1180586 2039194 2177780 2361172 2951465 4078388 5097985 5902930 10195970 11215567 11805860 20391940 22431134 44862268 56077835 112155670 224311340