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224135361 = 321710713691
BaseRepresentation
bin11010101110000…
…00100011000001
3120121202020220200
431113000203001
5424334312421
634123555413
75361055602
oct1527004301
9517666820
10224135361
1110557823a
126308bb69
1337587a98
1421aa5da9
1514a25726
hexd5c08c1

224135361 has 24 divisors (see below), whose sum is σ = 346024224. Its totient is φ = 139309440.

The previous prime is 224135347. The next prime is 224135369. The reversal of 224135361 is 163531422.

It is not a de Polignac number, because 224135361 - 217 = 224004289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224135369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9526 + ... + 23216.

It is an arithmetic number, because the mean of its divisors is an integer number (14417676).

Almost surely, 2224135361 is an apocalyptic number.

It is an amenable number.

224135361 is a deficient number, since it is larger than the sum of its proper divisors (121888863).

224135361 is a wasteful number, since it uses less digits than its factorization.

224135361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13818 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 224135361 is about 14971.1509577587. The cubic root of 224135361 is about 607.4401018015.

Adding to 224135361 its reverse (163531422), we get a palindrome (387666783).

The spelling of 224135361 in words is "two hundred twenty-four million, one hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 107 153 321 963 1819 5457 13691 16371 41073 123219 232747 698241 1464937 2094723 4394811 13184433 24903929 74711787 224135361