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224640256 = 284320407
BaseRepresentation
bin11010110001110…
…11110100000000
3120122200220111111
431120323310000
5430001442011
634142453104
75365260601
oct1530736400
9518626444
10224640256
11105892605
1263294194
1337703839
1421b97da8
1514ac5121
hexd63bd00

224640256 has 36 divisors (see below), whose sum is σ = 458853472. Its totient is φ = 109702656.

The previous prime is 224640239. The next prime is 224640259. The reversal of 224640256 is 652046422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224640259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805 + ... + 21211.

Almost surely, 2224640256 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 224640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229426736).

224640256 is an abundant number, since it is smaller than the sum of its proper divisors (234213216).

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

224640256 is an equidigital number, since it uses as much as digits as its factorization.

224640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 224640256 is about 14988.0037363219. The cubic root of 224640256 is about 607.8958732115.

Adding to 224640256 its reverse (652046422), we get a palindrome (876686678).

The spelling of 224640256 in words is "two hundred twenty-four million, six hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 5504 11008 20407 40814 81628 163256 326512 653024 877501 1306048 1755002 2612096 3510004 5224192 7020008 14040016 28080032 56160064 112320128 224640256