Search a number
-
+
13330224 = 243359523
BaseRepresentation
bin110010110110…
…011100110000
3221002020122000
4302312130300
511403031344
61153414000
7221206425
oct62663460
927066560
1013330224
117585216
12456a300
1329b960b
141aadd4c
151284a69
hexcb6730

13330224 has 80 divisors (see below), whose sum is σ = 38985600. Its totient is φ = 4359744.

The previous prime is 13330199. The next prime is 13330231. The reversal of 13330224 is 42203331.

13330224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13330197 and 13330206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25227 + ... + 25749.

It is an arithmetic number, because the mean of its divisors is an integer number (487320).

Almost surely, 213330224 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 13330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492800).

13330224 is an abundant number, since it is smaller than the sum of its proper divisors (25655376).

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

13330224 is a wasteful number, since it uses less digits than its factorization.

13330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13330224 is about 3651.0579288749. The cubic root of 13330224 is about 237.1077862548.

Adding to 13330224 its reverse (42203331), we get a palindrome (55533555).

The spelling of 13330224 in words is "thirteen million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 523 531 708 944 1046 1062 1416 1569 1593 2092 2124 2832 3138 3186 4184 4248 4707 6276 6372 8368 8496 9414 12552 12744 14121 18828 25104 25488 28242 30857 37656 56484 61714 75312 92571 112968 123428 185142 225936 246856 277713 370284 493712 555426 740568 833139 1110852 1481136 1666278 2221704 3332556 4443408 6665112 13330224