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225424 = 2473193
BaseRepresentation
bin110111000010010000
3102110020001
4313002100
524203144
64455344
71626133
oct670220
9373201
10225424
11144401
12aa554
137b7b4
145c21a
1546bd4
hex37090

225424 has 20 divisors (see below), whose sum is σ = 445036. Its totient is φ = 110592.

The previous prime is 225383. The next prime is 225427. The reversal of 225424 is 424522.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 135424 = 300^2 + 368^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1072 + ... + 1264.

2225424 is an apocalyptic number.

It is an amenable number.

225424 is a deficient number, since it is larger than the sum of its proper divisors (219612).

225424 is a wasteful number, since it uses less digits than its factorization.

225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 640, while the sum is 19.

The square root of 225424 is about 474.7883739099. The cubic root of 225424 is about 60.8602012215.

Adding to 225424 its reverse (424522), we get a palindrome (649946).

It can be divided in two parts, 2254 and 24, that added together give a triangular number (2278 = T67).

The spelling of 225424 in words is "two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 73 146 193 292 386 584 772 1168 1544 3088 14089 28178 56356 112712 225424