Search a number
-
+
224415114 = 23711598233
BaseRepresentation
bin11010110000001…
…00110110001010
3120122021110122220
431120010312022
5424422240424
634133554510
75363332320
oct1530046612
9518243586
10224415114
11105749440
12631a5a36
1337655211
1421b39d10
1514a7d579
hexd604d8a

224415114 has 64 divisors (see below), whose sum is σ = 569134080. Its totient is φ = 57294720.

The previous prime is 224415047. The next prime is 224415119. The reversal of 224415114 is 411514422.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224415119) 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, 23142 + ... + 31374.

It is an arithmetic number, because the mean of its divisors is an integer number (8892720).

Almost surely, 2224415114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224415114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284567040).

224415114 is an abundant number, since it is smaller than the sum of its proper divisors (344718966).

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

224415114 is a wasteful number, since it uses less digits than its factorization.

224415114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315.

The product of its digits is 1280, while the sum is 24.

The square root of 224415114 is about 14980.4911134448. The cubic root of 224415114 is about 607.6927207825.

Adding to 224415114 its reverse (411514422), we get a palindrome (635929536).

The spelling of 224415114 in words is "two hundred twenty-four million, four hundred fifteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2478 3894 4543 8233 9086 13629 16466 24699 27258 49398 57631 90563 115262 172893 181126 271689 345786 485747 543378 633941 971494 1267882 1457241 1901823 2914482 3400229 3803646 5343217 6800458 10200687 10686434 16029651 20401374 32059302 37402519 74805038 112207557 224415114