Search a number
-
+
224425530 = 232571918749
BaseRepresentation
bin11010110000001…
…11011000111010
3120122021222221200
431120013120322
5424423104110
634134115030
75363404560
oct1530073072
9518258850
10224425530
1110575624a
12631aba76
1337659b94
1421b3da30
1514a816c0
hexd60763a

224425530 has 96 divisors (see below), whose sum is σ = 702000000. Its totient is φ = 48594816.

The previous prime is 224425493. The next prime is 224425543. The reversal of 224425530 is 35524422.

It is a happy number.

224425530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224425494 and 224425503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (7312500).

Almost surely, 2224425530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224425530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000000).

224425530 is an abundant number, since it is smaller than the sum of its proper divisors (477574470).

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

224425530 is a wasteful number, since it uses less digits than its factorization.

224425530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18788 (or 18785 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 224425530 is about 14980.8387615647. The cubic root of 224425530 is about 607.7021224509.

Adding to 224425530 its reverse (35524422), we get a palindrome (259949952).

It can be divided in two parts, 22442 and 5530, that added together give a palindrome (27972).

The spelling of 224425530 in words is "two hundred twenty-four million, four hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 18749 37498 56247 93745 112494 131243 168741 187490 262486 281235 337482 356231 393729 562470 656215 712462 787458 843705 1068693 1181187 1312430 1687410 1781155 1968645 2137386 2362374 2493617 3206079 3562310 3937290 4987234 5343465 5905935 6412158 7480851 10686930 11811870 12468085 14961702 16030395 22442553 24936170 32060790 37404255 44885106 74808510 112212765 224425530