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4225 = 52132
BaseRepresentation
bin1000010000001
312210111
41002001
5113400
631321
715214
oct10201
95714
104225
1131a1
122541
131c00
14177b
1513ba
hex1081

4225 has 9 divisors (see below), whose sum is σ = 5673. Its totient is φ = 3120.

The previous prime is 4219. The next prime is 4229. The reversal of 4225 is 5224.

4225 divided by its sum of digits (13) gives a triangular number (325 = T25).

Adding to 4225 its reverse (5224), we get a palindrome (9449).

Subtracting 4225 from its reverse (5224), we obtain a palindrome (999).

It can be divided in two parts, 4 and 225, that multiplied together give a square (900 = 302).

4225 = T64 + T65.

It is a happy number.

The square root of 4225 is 65.

It is a perfect power (a square), and thus also a powerful number.

4225 is nontrivially palindromic in base 4 and base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 3136 = 33^2 + 56^2 .

It is not a de Polignac number, because 4225 - 23 = 4217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a d-powerful number, because it can be written as 4 + 211 + 211 + 53 .

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 319 + ... + 331.

It is a Proth number, since it is equal to 33 ⋅ 27 + 1 and 33 < 27.

24225 is an apocalyptic number.

4225 is the 65-th square number.

4225 is the 33-rd centered octagonal number.

It is an amenable number.

4225 is a deficient number, since it is larger than the sum of its proper divisors (1448).

4225 is a wasteful number, since it uses less digits than its factorization.

4225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its digits is 80, while the sum is 13.

The cubic root of 4225 is about 16.1662356258.

The spelling of 4225 in words is "four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225