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230227452 = 2232713312267
BaseRepresentation
bin11011011100011…
…11110111111100
3121001012202200200
431232033313330
5432414234302
634502323500
75463621030
oct1556176774
9531182620
10230227452
11108a59324
1265129590
133890b980
14228101c0
151532a81c
hexdb8fdfc

230227452 has 144 divisors (see below), whose sum is σ = 739694592. Its totient is φ = 58734720.

The previous prime is 230227441. The next prime is 230227453. The reversal of 230227452 is 254722032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230227453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100423 + ... + 102689.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2230227452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230227452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

230227452 is an abundant number, since it is smaller than the sum of its proper divisors (509467140).

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

230227452 is a wasteful number, since it uses less digits than its factorization.

230227452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 230227452 is about 15173.2479054420. The cubic root of 230227452 is about 612.8944693156.

Adding to 230227452 its reverse (254722032), we get a palindrome (484949484).

The spelling of 230227452 in words is "two hundred thirty million, two hundred twenty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2267 2418 2604 2821 3276 3627 3906 4534 4836 5642 6801 7254 7812 8463 9068 11284 13602 14508 15869 16926 20403 25389 27204 29471 31738 33852 40806 47607 50778 58942 63476 70277 81612 88413 95214 101556 117884 140554 142821 176826 190428 206297 210831 265239 281108 285642 353652 412594 421662 491939 530478 571284 618891 632493 825188 843324 913601 983878 1060956 1237782 1264986 1475817 1827202 1856673 1967756 2475564 2529972 2740803 2951634 3654404 3713346 4427451 5481606 5903268 6395207 7426692 8222409 8854902 10963212 12790414 16444818 17709804 19185621 25580828 32889636 38371242 57556863 76742484 115113726 230227452