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225792 = 293272
BaseRepresentation
bin110111001000000000
3102110201200
4313020000
524211132
64501200
71630200
oct671000
9373650
10225792
11144706
12aa800
137ba08
145c400
1546d7c
hex37200

225792 has 90 divisors (see below), whose sum is σ = 758043. Its totient is φ = 64512.

The previous prime is 225781. The next prime is 225809. The reversal of 225792 is 297522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 112896 = 336^2 + 336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336.

Its product of digits (2520) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225792.

It is an unprimeable number.

225792 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 8 ways as a sum of consecutive naturals, for example, 32253 + ... + 32259.

225792 is a Friedman number, since it can be written as 2^9*(7*(5-2))^2, using all its digits and the basic arithmetic operations.

2225792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225792

225792 is an abundant number, since it is smaller than the sum of its proper divisors (532251).

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

225792 is an equidigital number, since it uses as much as digits as its factorization.

225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 225792 is about 475.1757569574. The cubic root of 225792 is about 60.8933008882.

The spelling of 225792 in words is "two hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 512 576 588 672 768 784 882 896 1008 1152 1176 1344 1536 1568 1764 1792 2016 2304 2352 2688 3136 3528 3584 4032 4608 4704 5376 6272 7056 8064 9408 10752 12544 14112 16128 18816 25088 28224 32256 37632 56448 75264 112896 225792