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2256336 = 24341741
BaseRepresentation
bin1000100110110111010000
311020122010000
420212313100
51034200321
6120210000
725115145
oct10466720
94218100
102256336
111301245
12909900
13610014
1442a3cc
152e8826
hex226dd0

2256336 has 50 divisors (see below), whose sum is σ = 6534242. Its totient is φ = 751680.

The previous prime is 2256313. The next prime is 2256341. The reversal of 2256336 is 6336522.

2256336 is a `hidden beast` number, since 2 + 25 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 1089936 = 1080^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 426 + ... + 2166.

22256336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267121).

2256336 is an abundant number, since it is smaller than the sum of its proper divisors (4277906).

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

2256336 is a wasteful number, since it uses less digits than its factorization.

2256336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1746 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2256336 is about 1502.1105152418. The cubic root of 2256336 is about 131.1599545640.

It can be divided in two parts, 225 and 6336, that added together give a 8-th power (6561 = 38).

The spelling of 2256336 in words is "two million, two hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1741 3482 5223 6964 10446 13928 15669 20892 27856 31338 41784 47007 62676 83568 94014 125352 141021 188028 250704 282042 376056 564084 752112 1128168 2256336