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224434312541 = 19591359114731
BaseRepresentation
bin1101000100000101010…
…0111101010101011101
3210110022012202100222222
43101001110331111131
512134120141000131
6251034222115125
722133456115545
oct3210124752535
9713265670888
10224434312541
118720035592a
12375b671baa5
13182195b198a
14ac11294325
155c8865587b
hex344153d55d

224434312541 has 16 divisors (see below), whose sum is σ = 240284812800. Its totient is φ = 208988650800.

The previous prime is 224434312519. The next prime is 224434312573. The reversal of 224434312541 is 145213434422.

224434312541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 224434312541 - 218 = 224434050397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224434312741) 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 15 ways as a sum of consecutive naturals, for example, 15228146 + ... + 15242876.

It is an arithmetic number, because the mean of its divisors is an integer number (15017800800).

Almost surely, 2224434312541 is an apocalyptic number.

It is an amenable number.

224434312541 is a deficient number, since it is larger than the sum of its proper divisors (15850500259).

224434312541 is a wasteful number, since it uses less digits than its factorization.

224434312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28400.

The product of its digits is 92160, while the sum is 35.

Adding to 224434312541 its reverse (145213434422), we get a palindrome (369647746963).

The spelling of 224434312541 in words is "two hundred twenty-four billion, four hundred thirty-four million, three hundred twelve thousand, five hundred forty-one".

Divisors: 1 19 59 1121 13591 14731 258229 279889 801869 869129 15235511 16513451 200209021 3803971399 11812332239 224434312541