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2256340 = 2251011117
BaseRepresentation
bin1000100110110111010100
311020122010011
420212313110
51034200330
6120210004
725115152
oct10466724
94218104
102256340
111301249
12909904
13610018
1442a3d2
152e882a
hex226dd4

2256340 has 24 divisors (see below), whose sum is σ = 4789512. Its totient is φ = 892800.

The previous prime is 2256313. The next prime is 2256341. The reversal of 2256340 is 436522.

It is a happy number.

2256340 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 4 ways, for example, as 234256 + 2022084 = 484^2 + 1422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256341) 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 7 ways as a sum of consecutive naturals, for example, 1462 + ... + 2578.

It is an arithmetic number, because the mean of its divisors is an integer number (199563).

22256340 is an apocalyptic number.

2256340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256340 is an abundant number, since it is smaller than the sum of its proper divisors (2533172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2256340 is a wasteful number, since it uses less digits than its factorization.

2256340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2256340 is about 1502.1118467012. Note that the first 3 decimals coincide. The cubic root of 2256340 is about 131.1600320702.

The spelling of 2256340 in words is "two million, two hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1117 2020 2234 4468 5585 11170 22340 112817 225634 451268 564085 1128170 2256340