Search a number
-
+
224731 = 1359293
BaseRepresentation
bin110110110111011011
3102102021101
4312313123
524142411
64452231
71624123
oct666733
9372241
10224731
11143931
12aa077
137b3a0
145bc83
15468c1
hex36ddb

224731 has 8 divisors (see below), whose sum is σ = 246960. Its totient is φ = 203232.

The previous prime is 224729. The next prime is 224737. The reversal of 224731 is 137422.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224731 - 21 = 224729 is a prime.

It is a super-2 number, since 2×2247312 = 101008044722, which contains 22 as substring.

It is a Duffinian number.

224731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 224699 and 224708.

It is not an unprimeable number, because it can be changed into a prime (224737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2224731 is an apocalyptic number.

224731 is a deficient number, since it is larger than the sum of its proper divisors (22229).

224731 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 224731 = (372241)9.

224731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 336, while the sum is 19.

The square root of 224731 is about 474.0580133275. The cubic root of 224731 is about 60.7977715885.

It can be divided in two parts, 2247 and 31, that added together give a triangular number (2278 = T67).

The spelling of 224731 in words is "two hundred twenty-four thousand, seven hundred thirty-one".

Divisors: 1 13 59 293 767 3809 17287 224731