Search a number
-
+
224917561 = 11371992777
BaseRepresentation
bin11010110011111…
…11100000111001
3120200012222220001
431121333200321
5430034330221
634152433001
75400524221
oct1531774071
9520188801
10224917561
11105a61990
12633a8761
133779cb1b
1421c2b081
1514b2c391
hexd67f839

224917561 has 16 divisors (see below), whose sum is σ = 253353600. Its totient is φ = 197873280.

The previous prime is 224917559. The next prime is 224917579. The reversal of 224917561 is 165719422.

It is not a de Polignac number, because 224917561 - 21 = 224917559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

224917561 is a Rhonda number in base 10.

Its product of digits (30240) is a multiple of the sum of its prime divisors (3024).

It is a self number, because there is not a number n which added to its sum of digits gives 224917561.

It is not an unprimeable number, because it can be changed into a prime (224917501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79605 + ... + 82381.

It is an arithmetic number, because the mean of its divisors is an integer number (15834600).

Almost surely, 2224917561 is an apocalyptic number.

It is an amenable number.

224917561 is a deficient number, since it is larger than the sum of its proper divisors (28436039).

224917561 is a wasteful number, since it uses less digits than its factorization.

224917561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024.

The product of its digits is 30240, while the sum is 37.

The square root of 224917561 is about 14997.2517815765. The cubic root of 224917561 is about 608.1459074239.

The spelling of 224917561 in words is "two hundred twenty-four million, nine hundred seventeen thousand, five hundred sixty-one".

Divisors: 1 11 37 199 407 2189 2777 7363 30547 80993 102749 552623 1130239 6078853 20447051 224917561