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2251225 = 52175297
BaseRepresentation
bin1000100101100111011001
311020101002201
420211213121
51034014400
6120130201
725064224
oct10454731
94211081
102251225
1112a8419
12906961
1360a8b2
144285bb
152e706a
hex2259d9

2251225 has 12 divisors (see below), whose sum is σ = 2956284. Its totient is φ = 1694720.

The previous prime is 2251213. The next prime is 2251229. The reversal of 2251225 is 5221522.

2251225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 2181529 = 264^2 + 1477^2 .

It is not a de Polignac number, because 2251225 - 29 = 2250713 is a prime.

It is a Duffinian number.

2251225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2251229) 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 11 ways as a sum of consecutive naturals, for example, 2224 + ... + 3073.

It is an arithmetic number, because the mean of its divisors is an integer number (246357).

22251225 is an apocalyptic number.

2251225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2251225 is a deficient number, since it is larger than the sum of its proper divisors (705059).

2251225 is a wasteful number, since it uses less digits than its factorization.

2251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5319 counting only the distinct ones).

The product of its digits is 400, while the sum is 19.

The square root of 2251225 is about 1500.4082777698. The cubic root of 2251225 is about 131.0608461975.

Adding to 2251225 its reverse (5221522), we get a palindrome (7472747).

It can be divided in two parts, 225 and 1225, that multiplied together give a square (275625 = 5252).

The spelling of 2251225 in words is "two million, two hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 5297 26485 90049 132425 450245 2251225