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224513130 = 235411671093
BaseRepresentation
bin11010110000111…
…00110001101010
3120122110110010010
431120130301222
5424433410010
634140032350
75364221142
oct1530346152
9518413103
10224513130
11105806046
12632326b6
133768aa0a
1421b63922
1514a9c620
hexd61cc6a

224513130 has 64 divisors (see below), whose sum is σ = 555787008. Its totient is φ = 58007040.

The previous prime is 224513119. The next prime is 224513137. The reversal of 224513130 is 31315422.

224513130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2245131302 = 100812291084793800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224513097 and 224513106.

It is not an unprimeable number, because it can be changed into a prime (224513137) 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, 204864 + ... + 205956.

It is an arithmetic number, because the mean of its divisors is an integer number (8684172).

Almost surely, 2224513130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224513130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277893504).

224513130 is an abundant number, since it is smaller than the sum of its proper divisors (331273878).

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

224513130 is a wasteful number, since it uses less digits than its factorization.

224513130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 224513130 is about 14983.7622111404. The cubic root of 224513130 is about 607.7811802732.

Adding to 224513130 its reverse (31315422), we get a palindrome (255828552).

The spelling of 224513130 in words is "two hundred twenty-four million, five hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 167 205 246 334 410 501 615 835 1002 1093 1230 1670 2186 2505 3279 5010 5465 6558 6847 10930 13694 16395 20541 32790 34235 41082 44813 68470 89626 102705 134439 182531 205410 224065 268878 365062 448130 547593 672195 912655 1095186 1344390 1825310 2737965 5475930 7483771 14967542 22451313 37418855 44902626 74837710 112256565 224513130