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224001 = 3224889
BaseRepresentation
bin110110101100000001
3102101021100
4312230001
524132001
64445013
71622031
oct665401
9371240
10224001
11143328
12a9769
137ac5b
145b8c1
1546586
hex36b01

224001 has 6 divisors (see below), whose sum is σ = 323570. Its totient is φ = 149328.

The previous prime is 223999. The next prime is 224011. The reversal of 224001 is 100422.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 104976 = 345^2 + 324^2 .

It is not a de Polignac number, because 224001 - 21 = 223999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 24889 = 224001 / (2 + 2 + 4 + 0 + 0 + 1).

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 (224011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12436 + ... + 12453.

2224001 is an apocalyptic number.

It is an amenable number.

224001 is a deficient number, since it is larger than the sum of its proper divisors (99569).

224001 is a wasteful number, since it uses less digits than its factorization.

224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24895 (or 24892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 224001 is about 473.2874390896. The cubic root of 224001 is about 60.7318698121.

Adding to 224001 its reverse (100422), we get a palindrome (324423).

The spelling of 224001 in words is "two hundred twenty-four thousand, one", and thus it is an iban number.

Divisors: 1 3 9 24889 74667 224001