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34225 = 52372
BaseRepresentation
bin1000010110110001
31201221121
420112301
52043400
6422241
7201532
oct102661
951847
1034225
1123794
1217981
1312769
14c689
15a21a
hex85b1

34225 has 9 divisors (see below), whose sum is σ = 43617. Its totient is φ = 26640.

The previous prime is 34217. The next prime is 34231. The reversal of 34225 is 52243.

Multipling 34225 by its sum of digits (16), we get a square (547600 = 7402).

Adding to 34225 its reverse (52243), we get a palindrome (86468).

34225 = T184 + T185.

The square root of 34225 is 185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 30976 = 57^2 + 176^2 .

It is not a de Polignac number, because 34225 - 23 = 34217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34199 and 34208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 907 + ... + 943.

234225 is an apocalyptic number.

34225 is the 185-th square number.

34225 is the 93-rd centered octagonal number.

It is an amenable number.

34225 is a deficient number, since it is larger than the sum of its proper divisors (9392).

34225 is an equidigital number, since it uses as much as digits as its factorization.

34225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 240, while the sum is 16.

The cubic root of 34225 is about 32.4674229780.

The spelling of 34225 in words is "thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 1369 6845 34225