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224311424 = 272935981
BaseRepresentation
bin11010101111010…
…11100010000000
3120122002012102112
431113223202000
5424410431144
634131434452
75362421111
oct1527534200
9518065375
10224311424
11105688547
1263155a28
1337619c6c
1421b10208
1514a5c99e
hexd5eb880

224311424 has 32 divisors (see below), whose sum is σ = 448470540. Its totient is φ = 111754240.

The previous prime is 224311411. The next prime is 224311429. The reversal of 224311424 is 424113422.

It can be written as a sum of positive squares in 2 ways, for example, as 224041024 + 270400 = 14968^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2243114242 = 100631229873815552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224311424.

It is not an unprimeable number, because it can be changed into a prime (224311429) 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, 34514 + ... + 40494.

Almost surely, 2224311424 is an apocalyptic number.

It is an amenable number.

224311424 is a deficient number, since it is larger than the sum of its proper divisors (224159116).

224311424 is an equidigital number, since it uses as much as digits as its factorization.

224311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6276 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 224311424 is about 14977.0298791182. The cubic root of 224311424 is about 607.5991124624.

Adding to 224311424 its reverse (424113422), we get a palindrome (648424846).

The spelling of 224311424 in words is "two hundred twenty-four million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 293 586 1172 2344 4688 5981 9376 11962 18752 23924 37504 47848 95696 191392 382784 765568 1752433 3504866 7009732 14019464 28038928 56077856 112155712 224311424