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2132225 = 521729173
BaseRepresentation
bin1000001000100100000001
311000022212022
420020210001
51021212400
6113411225
724060254
oct10104401
94008768
102132225
111226a77
12869b15
13598694
143d709b
152c1b85
hex208901

2132225 has 24 divisors (see below), whose sum is σ = 2912760. Its totient is φ = 1541120.

The previous prime is 2132213. The next prime is 2132231. The reversal of 2132225 is 5222312.

It can be written as a sum of positive squares in 12 ways, for example, as 38416 + 2093809 = 196^2 + 1447^2 .

It is not a de Polignac number, because 2132225 - 24 = 2132209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a d-powerful number, because it can be written as 23 + 1 + 35 + 211 + 215 + 221 + 5 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12239 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (121365).

22132225 is an apocalyptic number.

2132225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2132225 is a deficient number, since it is larger than the sum of its proper divisors (780535).

2132225 is a wasteful number, since it uses less digits than its factorization.

2132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 2132225 is about 1460.2140254086. The cubic root of 2132225 is about 128.7096206675.

Adding to 2132225 its reverse (5222312), we get a palindrome (7354537).

The spelling of 2132225 in words is "two million, one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 173 425 493 725 865 2465 2941 4325 5017 12325 14705 25085 73525 85289 125425 426445 2132225