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224014144 = 2610093469
BaseRepresentation
bin11010101101000…
…10111101000000
3120121112002122011
431112202331000
5424321423034
634121222304
75360042314
oct1526427500
9517462564
10224014144
111054a5162
1263031994
1337544863
1421a73b44
15149ee864
hexd5a2f40

224014144 has 28 divisors (see below), whose sum is σ = 445096900. Its totient is φ = 111863808.

The previous prime is 224014139. The next prime is 224014163. The reversal of 224014144 is 441410422.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 193543744 = 5520^2 + 13912^2 .

It is a congruent number.

It is an unprimeable number.

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, 62842 + ... + 66310.

Almost surely, 2224014144 is an apocalyptic number.

It is an amenable number.

224014144 is a deficient number, since it is larger than the sum of its proper divisors (221082756).

224014144 is a wasteful number, since it uses less digits than its factorization.

224014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 224014144 is about 14967.1020575127. The cubic root of 224014144 is about 607.3305766997.

Adding to 224014144 its reverse (441410422), we get a palindrome (665424566).

It can be divided in two parts, 2240 and 14144, that added together give a 14-th power (16384 = 214).

The spelling of 224014144 in words is "two hundred twenty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 1009 2018 3469 4036 6938 8072 13876 16144 27752 32288 55504 64576 111008 222016 3500221 7000442 14000884 28001768 56003536 112007072 224014144