Search a number
-
+
144082224 = 243211136997
BaseRepresentation
bin10001001011010…
…00010100110000
3101001010010122200
420211220110300
5243341112344
622144103200
73366451536
oct1045502460
9331103580
10144082224
1174370120
1240304b00
1323b09470
14151c8156
15c9b1069
hex8968530

144082224 has 120 divisors (see below), whose sum is σ = 473792592. Its totient is φ = 40296960.

The previous prime is 144082223. The next prime is 144082229. The reversal of 144082224 is 422280441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144082223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17094 + ... + 24090.

Almost surely, 2144082224 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 144082224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236896296).

144082224 is an abundant number, since it is smaller than the sum of its proper divisors (329710368).

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

144082224 is a wasteful number, since it uses less digits than its factorization.

144082224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144082224 is about 12003.4255110781. The cubic root of 144082224 is about 524.2480227487.

The spelling of 144082224 in words is "one hundred forty-four million, eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 6997 10296 13994 20592 20991 27988 41982 55976 62973 76967 83964 90961 111952 125946 153934 167928 181922 230901 251892 272883 307868 335856 363844 461802 503784 545766 615736 692703 727688 818649 923604 1000571 1007568 1091532 1231472 1385406 1455376 1637298 1847208 2001142 2183064 2770812 3001713 3274596 3694416 4002284 4366128 5541624 6003426 6549192 8004568 9005139 11083248 12006852 13098384 16009136 18010278 24013704 36020556 48027408 72041112 144082224