Search a number
-
+
144032224 = 2576183127
BaseRepresentation
bin10001001010111…
…00000111100000
3101001000121001211
420211130013200
5243333012344
622143035504
73366153010
oct1045340740
9331017054
10144032224
11743365a6
124029bb94
1323abc78b
14151b3c40
15c9a1334
hex895c1e0

144032224 has 96 divisors (see below), whose sum is σ = 335978496. Its totient is φ = 59512320.

The previous prime is 144032209. The next prime is 144032227. The reversal of 144032224 is 422230441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144032195 and 144032204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144032227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134049 + ... + 1134175.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2144032224 is an apocalyptic number.

144032224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

144032224 is an abundant number, since it is smaller than the sum of its proper divisors (191946272).

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

144032224 is a wasteful number, since it uses less digits than its factorization.

144032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144032224 is about 12001.3425915603. The cubic root of 144032224 is about 524.1873735048.

Adding to 144032224 its reverse (422230441), we get a palindrome (566262665).

The spelling of 144032224 in words is "one hundred forty-four million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 83 112 122 127 166 224 244 254 332 427 488 508 581 664 854 889 976 1016 1162 1328 1708 1778 1952 2032 2324 2656 3416 3556 4064 4648 5063 6832 7112 7747 9296 10126 10541 13664 14224 15494 18592 20252 21082 28448 30988 35441 40504 42164 54229 61976 70882 73787 81008 84328 108458 123952 141764 147574 162016 168656 216916 247904 283528 295148 337312 433832 567056 590296 643001 867664 1134112 1180592 1286002 1735328 2361184 2572004 4501007 5144008 9002014 10288016 18004028 20576032 36008056 72016112 144032224