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225378 = 23219659
BaseRepresentation
bin110111000001100010
3102110011100
4313001202
524203003
64455230
71626036
oct670142
9373140
10225378
1114436a
12aa516
137b77a
145c1c6
1546ba3
hex37062

225378 has 24 divisors (see below), whose sum is σ = 514800. Its totient is φ = 71064.

The previous prime is 225373. The next prime is 225383. The reversal of 225378 is 873522.

It is an interprime number because it is at equal distance from previous prime (225373) and next prime (225383).

It is not an unprimeable number, because it can be changed into a prime (225371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2225378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257400).

225378 is an abundant number, since it is smaller than the sum of its proper divisors (289422).

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

225378 is a wasteful number, since it uses less digits than its factorization.

225378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 683 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 225378 is about 474.7399288031. The cubic root of 225378 is about 60.8560612309.

The spelling of 225378 in words is "two hundred twenty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 659 1318 1977 3954 5931 11862 12521 25042 37563 75126 112689 225378