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224020 = 22523487
BaseRepresentation
bin110110101100010100
3102101022001
4312230110
524132040
64445044
71622056
oct665424
9371261
10224020
11143345
12a9784
137ac74
145b8d6
154659a
hex36b14

224020 has 24 divisors (see below), whose sum is σ = 491904. Its totient is φ = 85536.

The previous prime is 224011. The next prime is 224027. The reversal of 224020 is 20422.

It is a happy number.

224020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 223988 and 224006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224027) by changing a digit.

224020 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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2224020 is an apocalyptic number.

224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245952).

224020 is an abundant number, since it is smaller than the sum of its proper divisors (267884).

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

224020 is a wasteful number, since it uses less digits than its factorization.

224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 224020 is about 473.3075110327. The cubic root of 224020 is about 60.7335868772.

Adding to 224020 its reverse (20422), we get a palindrome (244442).

The spelling of 224020 in words is "two hundred twenty-four thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 487 974 1948 2435 4870 9740 11201 22402 44804 56005 112010 224020