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224004000424 = 23971901151849
BaseRepresentation
bin1101000010011110101…
…1011100101010101000
3210102012020001020202011
43100213223130222220
512132230011003144
6250523411045304
722120012405351
oct3204753345250
9712166036664
10224004000424
1186aaa466a86
12374b65a0834
131817b3b9319
14abb007cd28
155c609a5a34
hex3427adcaa8

224004000424 has 32 divisors (see below), whose sum is σ = 424563489000. Its totient is φ = 110788300800.

The previous prime is 224004000421. The next prime is 224004000439. The reversal of 224004000424 is 424000400422.

224004000424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78932902500 + 145071097924 = 280950^2 + 380882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224004000395 and 224004000404.

It is not an unprimeable number, because it can be changed into a prime (224004000421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399252 + ... + 1551100.

Almost surely, 2224004000424 is an apocalyptic number.

It is an amenable number.

224004000424 is a deficient number, since it is larger than the sum of its proper divisors (200559488576).

224004000424 is a wasteful number, since it uses less digits than its factorization.

224004000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153853 (or 153849 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 224004000424 its reverse (424000400422), we get a palindrome (648004400846).

The spelling of 224004000424 in words is "two hundred twenty-four billion, four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 97 194 388 776 1901 3802 7604 15208 151849 184397 303698 368794 607396 737588 1214792 1475176 14729353 29458706 58917412 117834824 288664949 577329898 1154659796 2309319592 28000500053 56001000106 112002000212 224004000424