Search a number
-
+
2304224 = 251329191
BaseRepresentation
bin1000110010100011100000
311100001210122
420302203200
51042213344
6121215412
725404566
oct10624340
94301718
102304224
11133421a
12931568
13628a60
1443da36
15307aee
hex2328e0

2304224 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 1021440.

The previous prime is 2304223. The next prime is 2304229. The reversal of 2304224 is 4224032.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11969 + ... + 12159.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22304224 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 2304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2304224 is an abundant number, since it is smaller than the sum of its proper divisors (2776096).

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

2304224 is a wasteful number, since it uses less digits than its factorization.

2304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2304224 is about 1517.9670615662. The cubic root of 2304224 is about 132.0813700931.

Adding to 2304224 its reverse (4224032), we get a palindrome (6528256).

The spelling of 2304224 in words is "two million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 191 208 232 377 382 416 464 754 764 928 1508 1528 2483 3016 3056 4966 5539 6032 6112 9932 11078 12064 19864 22156 39728 44312 72007 79456 88624 144014 177248 288028 576056 1152112 2304224