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225340 = 22519593
BaseRepresentation
bin110111000000111100
3102110002221
4313000330
524202330
64455124
71625653
oct670074
9373087
10225340
11144335
12aa4a4
137b74b
145c19a
1546b7a
hex3703c

225340 has 24 divisors (see below), whose sum is σ = 498960. Its totient is φ = 85248.

The previous prime is 225307. The next prime is 225341. The reversal of 225340 is 43522.

225340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2225340 is an apocalyptic number.

225340 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 225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480).

225340 is an abundant number, since it is smaller than the sum of its proper divisors (273620).

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

225340 is a wasteful number, since it uses less digits than its factorization.

225340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 225340 is about 474.6999052033. The cubic root of 225340 is about 60.8526408138.

Adding to 225340 its reverse (43522), we get a palindrome (268862).

It can be divided in two parts, 225 and 340, that added together give a palindrome (565).

The spelling of 225340 in words is "two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 593 1186 2372 2965 5930 11267 11860 22534 45068 56335 112670 225340