Search a number
-
+
224601696 = 253211312287
BaseRepresentation
bin11010110001100…
…10011001100000
3120122121221121100
431120302121200
5424444223241
634141554400
75365040304
oct1530623140
9518557540
10224601696
11105866640
1263275a00
13376bc117
1421b87d04
1514ab89b6
hexd632660

224601696 has 144 divisors (see below), whose sum is σ = 719566848. Its totient is φ = 65836800.

The previous prime is 224601691. The next prime is 224601721. The reversal of 224601696 is 696106422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224601696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224601691) 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, 97065 + ... + 99351.

It is an arithmetic number, because the mean of its divisors is an integer number (4996992).

Almost surely, 2224601696 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 224601696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359783424).

224601696 is an abundant number, since it is smaller than the sum of its proper divisors (494965152).

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

224601696 is a wasteful number, since it uses less digits than its factorization.

224601696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 224601696 is about 14986.7173190129. The cubic root of 224601696 is about 607.8610889946.

The spelling of 224601696 in words is "two hundred twenty-four million, six hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2287 2728 2976 3069 3168 4092 4464 4574 5456 6138 6861 8184 8928 9148 10912 12276 13722 16368 18296 20583 24552 25157 27444 32736 36592 41166 49104 50314 54888 70897 73184 75471 82332 98208 100628 109776 141794 150942 164664 201256 212691 219552 226413 283588 301884 329328 402512 425382 452826 567176 603768 638073 658656 779867 805024 850764 905652 1134352 1207536 1276146 1559734 1701528 1811304 2268704 2339601 2415072 2552292 3119468 3403056 3622608 4679202 5104584 6238936 6806112 7018803 7245216 9358404 10209168 12477872 14037606 18716808 20418336 24955744 28075212 37433616 56150424 74867232 112300848 224601696