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225390 = 23511683
BaseRepresentation
bin110111000001101110
3102110011210
4313001232
524203030
64455250
71626054
oct670156
9373153
10225390
11144380
12aa526
137b789
145c1d4
1546bb0
hex3706e

225390 has 32 divisors (see below), whose sum is σ = 590976. Its totient is φ = 54560.

The previous prime is 225383. The next prime is 225427. The reversal of 225390 is 93522.

It is a congruent number.

It is an unprimeable number.

225390 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 15 ways as a sum of consecutive naturals, for example, 12 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (18468).

2225390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295488).

225390 is an abundant number, since it is smaller than the sum of its proper divisors (365586).

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

225390 is a wasteful number, since it uses less digits than its factorization.

225390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 225390 is about 474.7525671337. The cubic root of 225390 is about 60.8571412828.

The spelling of 225390 in words is "two hundred twenty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 683 1366 2049 3415 4098 6830 7513 10245 15026 20490 22539 37565 45078 75130 112695 225390