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225342 = 23413107
BaseRepresentation
bin110111000000111110
3102110010000
4313000332
524202332
64455130
71625655
oct670076
9373100
10225342
11144337
12aa4a6
137b750
145c19c
1546b7c
hex3703e

225342 has 40 divisors (see below), whose sum is σ = 548856. Its totient is φ = 68688.

The previous prime is 225341. The next prime is 225343. The reversal of 225342 is 243522.

225342 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (225341) and next prime (225343).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 2053 + ... + 2159.

2225342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274428).

225342 is an abundant number, since it is smaller than the sum of its proper divisors (323514).

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

225342 is a wasteful number, since it uses less digits than its factorization.

225342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 225342 is about 474.7020117927. The cubic root of 225342 is about 60.8528208453.

Adding to 225342 its reverse (243522), we get a palindrome (468864).

The spelling of 225342 in words is "two hundred twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 107 117 162 214 234 321 351 642 702 963 1053 1391 1926 2106 2782 2889 4173 5778 8346 8667 12519 17334 25038 37557 75114 112671 225342