Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1782225 = 3252892
BaseRepresentation
bin110110011000111010001
310100112202100
412303013101
5424012400
6102111013
721101664
oct6630721
93315670
101782225
111008015
1271b469
134a5293
143456db
15253100
hex1b31d1

1782225 has 27 divisors (see below), whose sum is σ = 3228433. Its totient is φ = 939840.

The previous prime is 1782211. The next prime is 1782239. The reversal of 1782225 is 5222871.

The square root of 1782225 is 1335.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1782211) and next prime (1782239).

It can be written as a sum of positive squares in 4 ways, for example, as 370881 + 1411344 = 609^2 + 1188^2 .

It is not a de Polignac number, because 1782225 - 215 = 1749457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 19981 + ... + 20069.

21782225 is an apocalyptic number.

1782225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1782225 is the 1335-th square number.

1782225 is the 668-th centered octagonal number.

It is an amenable number.

1782225 is a deficient number, since it is larger than the sum of its proper divisors (1446208).

1782225 is an equidigital number, since it uses as much as digits as its factorization.

1782225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The cubic root of 1782225 is about 121.2423029797.

The spelling of 1782225 in words is "one million, seven hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 6675 7921 20025 23763 39605 71289 118815 198025 356445 594075 1782225