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2256366 = 237311733
BaseRepresentation
bin1000100110110111101110
311020122011010
420212313232
51034200431
6120210050
725115220
oct10466756
94218133
102256366
111301272
12909926
13610038
1442a410
152e8846
hex226dee

2256366 has 32 divisors (see below), whose sum is σ = 5326848. Its totient is φ = 623520.

The previous prime is 2256361. The next prime is 2256367. The reversal of 2256366 is 6636522.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 23 + 215 + 59 + 6 + 311 + 66 + 66 .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (166464).

22256366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663424).

2256366 is an abundant number, since it is smaller than the sum of its proper divisors (3070482).

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

2256366 is a wasteful number, since it uses less digits than its factorization.

2256366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its digits is 12960, while the sum is 30.

The square root of 2256366 is about 1502.1205011583. The cubic root of 2256366 is about 131.1605358577.

The spelling of 2256366 in words is "two million, two hundred fifty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1733 3466 5199 10398 12131 24262 36393 53723 72786 107446 161169 322338 376061 752122 1128183 2256366