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2256580225 = 5290263209
BaseRepresentation
bin1000011010000000…
…1010111010000001
312211021011011010101
42012200022322001
514110141031400
61011530202401
7106630421044
oct20640127201
95737134111
102256580225
11a58865139
1252b883401
1329c681b93
141759a8c5b
15d319656a
hex8680ae81

2256580225 has 6 divisors (see below), whose sum is σ = 2798159510. Its totient is φ = 1805264160.

The previous prime is 2256580217. The next prime is 2256580247. The reversal of 2256580225 is 5220856522.

It can be written as a sum of positive squares in 3 ways, for example, as 2989441 + 2253590784 = 1729^2 + 47472^2 .

It is not a de Polignac number, because 2256580225 - 23 = 2256580217 is a prime.

It is a super-2 number, since 2×22565802252 = 10184308623722101250, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 45131580 + ... + 45131629.

Almost surely, 22256580225 is an apocalyptic number.

2256580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256580225 is a deficient number, since it is larger than the sum of its proper divisors (541579285).

2256580225 is an equidigital number, since it uses as much as digits as its factorization.

2256580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90263219 (or 90263214 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 2256580225 is about 47503.4759254520. The cubic root of 2256580225 is about 1311.6468662881.

The spelling of 2256580225 in words is "two billion, two hundred fifty-six million, five hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 90263209 451316045 2256580225