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42225 = 352563
BaseRepresentation
bin1010010011110001
32010220220
422103301
52322400
6523253
7234051
oct122361
963826
1042225
11297a7
1220529
13162b1
1411561
15c7a0
hexa4f1

42225 has 12 divisors (see below), whose sum is σ = 69936. Its totient is φ = 22480.

The previous prime is 42223. The next prime is 42227. The reversal of 42225 is 52224.

42225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42223) and next prime (42227).

It is not a de Polignac number, because 42225 - 21 = 42223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42221) 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, 207 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (5828).

242225 is an apocalyptic number.

It is an amenable number.

42225 is a deficient number, since it is larger than the sum of its proper divisors (27711).

42225 is a wasteful number, since it uses less digits than its factorization.

42225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its digits is 160, while the sum is 15.

The square root of 42225 is about 205.4872258803. The cubic root of 42225 is about 34.8222278393.

Multiplying 42225 by its sum of digits (15), we get a triangular number (633375 = T1125).

Adding to 42225 its reverse (52224), we get a palindrome (94449).

Subtracting 42225 from its reverse (52224), we obtain a palindrome (9999).

The spelling of 42225 in words is "forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 563 1689 2815 8445 14075 42225