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148225 = 5272112
BaseRepresentation
bin100100001100000001
321112022211
4210030001
514220400
63102121
71155100
oct441401
9245284
10148225
11a1400
1271941
135260c
143c037
152ddba
hex24301

148225 has 27 divisors (see below), whose sum is σ = 235011. Its totient is φ = 92400.

The previous prime is 148207. The next prime is 148229. The reversal of 148225 is 522841.

148225 = T384 + T385.

148225 = 282 + 292 + ... + 772.

The square root of 148225 is 385.

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., 53361 + 94864 = 231^2 + 308^2 .

It is not a de Polignac number, because 148225 - 25 = 148193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 148196 and 148205.

It is not an unprimeable number, because it can be changed into a prime (148229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13470 + ... + 13480.

148225 is a Friedman number, since it can be written as (5*(82-4-1))^2, using all its digits and the basic arithmetic operations.

2148225 is an apocalyptic number.

148225 is the 385-th square number.

148225 is the 193-rd centered octagonal number.

It is an amenable number.

148225 is a deficient number, since it is larger than the sum of its proper divisors (86786).

148225 is a wasteful number, since it uses less digits than its factorization.

148225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The cubic root of 148225 is about 52.9225164206.

It can be divided in two parts, 148 and 225, that added together give a palindrome (373).

The spelling of 148225 in words is "one hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 4235 5929 13475 21175 29645 148225