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213025 = 528521
BaseRepresentation
bin110100000000100001
3101211012211
4310000201
523304100
64322121
71545031
oct640041
9354184
10213025
1113605a
12a3341
1375c67
14578c1
15431ba
hex34021

213025 has 6 divisors (see below), whose sum is σ = 264182. Its totient is φ = 170400.

The previous prime is 213023. The next prime is 213029. The reversal of 213025 is 520312.

It can be written as a sum of positive squares in 3 ways, for example, as 12321 + 200704 = 111^2 + 448^2 .

It is not a de Polignac number, because 213025 - 21 = 213023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212996 and 213014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023) 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 5 ways as a sum of consecutive naturals, for example, 4236 + ... + 4285.

2213025 is an apocalyptic number.

213025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213025 is a deficient number, since it is larger than the sum of its proper divisors (51157).

213025 is an equidigital number, since it uses as much as digits as its factorization.

213025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 213025 is about 461.5463140358. The cubic root of 213025 is about 59.7232626063.

Adding to 213025 its reverse (520312), we get a palindrome (733337).

The spelling of 213025 in words is "two hundred thirteen thousand, twenty-five".

Divisors: 1 5 25 8521 42605 213025