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225435 = 35719113
BaseRepresentation
bin110111000010011011
3102110020110
4313002123
524203220
64455403
71626150
oct670233
9373213
10225435
11144411
12aa563
137b7c2
145c227
1546be0
hex3709b

225435 has 32 divisors (see below), whose sum is σ = 437760. Its totient is φ = 96768.

The previous prime is 225431. The next prime is 225457. The reversal of 225435 is 534522.

It is not a de Polignac number, because 225435 - 22 = 225431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

225435 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225435.

It is not an unprimeable number, because it can be changed into a prime (225431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2225435 is an apocalyptic number.

225435 is a deficient number, since it is larger than the sum of its proper divisors (212325).

225435 is a wasteful number, since it uses less digits than its factorization.

225435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 1200, while the sum is 21.

The square root of 225435 is about 474.7999578770. The cubic root of 225435 is about 60.8611911358.

Adding to 225435 its sum of digits (21), we get a triangular number (225456 = T671).

Adding to 225435 its reverse (534522), we get a palindrome (759957).

The spelling of 225435 in words is "two hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 113 133 285 339 399 565 665 791 1695 1995 2147 2373 3955 6441 10735 11865 15029 32205 45087 75145 225435