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2257225 = 5290289
BaseRepresentation
bin1000100111000101001001
311020200022221
420213011021
51034212400
6120214041
725120555
oct10470511
94220287
102257225
111301983
1290a321
13610549
1442a865
152e8c1a
hex227149

2257225 has 6 divisors (see below), whose sum is σ = 2798990. Its totient is φ = 1805760.

The previous prime is 2257207. The next prime is 2257237. The reversal of 2257225 is 5227522.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 1565001 = 832^2 + 1251^2 .

It is not a de Polignac number, because 2257225 - 25 = 2257193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 90289 = 2257225 / (2 + 2 + 5 + 7 + 2 + 2 + 5).

It is a d-powerful number, because it can be written as 24 + 214 + 5 + 7 + 216 + 221 + 57 .

It is a self number, because there is not a number n which added to its sum of digits gives 2257225.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45120 + ... + 45169.

22257225 is an apocalyptic number.

2257225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2257225 is a deficient number, since it is larger than the sum of its proper divisors (541765).

2257225 is an equidigital number, since it uses as much as digits as its factorization.

2257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90299 (or 90294 counting only the distinct ones).

The product of its digits is 2800, while the sum is 25.

The square root of 2257225 is about 1502.4064030747. The cubic root of 2257225 is about 131.1771780463.

It can be divided in two parts, 225 and 7225, that multiplied together give a square (1625625 = 12752).

The spelling of 2257225 in words is "two million, two hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 90289 451445 2257225