Search a number
-
+
224010 = 232519131
BaseRepresentation
bin110110101100001010
3102101021200
4312230022
524132020
64445030
71622043
oct665412
9371250
10224010
11143336
12a9776
137ac67
145b8ca
1546590
hex36b0a

224010 has 48 divisors (see below), whose sum is σ = 617760. Its totient is φ = 56160.

The previous prime is 223999. The next prime is 224011. The reversal of 224010 is 10422.

224010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 223983 and 224001.

It is not an unprimeable number, because it can be changed into a prime (224011) by changing a digit.

224010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2224010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

224010 is an abundant number, since it is smaller than the sum of its proper divisors (393750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224010 is a wasteful number, since it uses less digits than its factorization.

224010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 160 counting only the distinct ones).

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

The square root of 224010 is about 473.2969469582. The cubic root of 224010 is about 60.7326831708.

Adding to 224010 its reverse (10422), we get a palindrome (234432).

The spelling of 224010 in words is "two hundred twenty-four thousand, ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 131 171 190 262 285 342 393 570 655 786 855 1179 1310 1710 1965 2358 2489 3930 4978 5895 7467 11790 12445 14934 22401 24890 37335 44802 74670 112005 224010