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55225 = 52472
BaseRepresentation
bin1101011110111001
32210202101
431132321
53231400
61103401
7320002
oct153671
983671
1055225
1138545
1227b61
131c1a1
14161a9
151156a
hexd7b9

55225 has 9 divisors (see below), whose sum is σ = 69967. Its totient is φ = 43240.

The previous prime is 55219. The next prime is 55229. The reversal of 55225 is 52255.

55225 = T234 + T235.

The square root of 55225 is 235.

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

It can be written as a sum of positive squares in only one way, i.e., 19881 + 35344 = 141^2 + 188^2 .

It is not a de Polignac number, because 55225 - 23 = 55217 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1152 + ... + 1198.

55225 is a Friedman number, since it can be written as (5*(52-5))^2, using all its digits and the basic arithmetic operations.

255225 is an apocalyptic number.

55225 is the 235-th square number.

55225 is the 118-th centered octagonal number.

It is an amenable number.

55225 is a deficient number, since it is larger than the sum of its proper divisors (14742).

55225 is an equidigital number, since it uses as much as digits as its factorization.

55225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its digits is 500, while the sum is 19.

The cubic root of 55225 is about 38.0813124945.

The spelling of 55225 in words is "fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 2209 11045 55225