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2266304 = 26172083
BaseRepresentation
bin1000101001010011000000
311021010210012
420221103000
51040010204
6120324052
725156205
oct10512300
94233705
102266304
111308787
12913628
13614711
1442dcac
152eb76e
hex2294c0

2266304 has 28 divisors (see below), whose sum is σ = 4764024. Its totient is φ = 1065984.

The previous prime is 2266291. The next prime is 2266307. The reversal of 2266304 is 4036622.

It is a super-2 number, since 2×22663042 = 10272267640832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2266304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 2129.

22266304 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 2266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382012).

2266304 is an abundant number, since it is smaller than the sum of its proper divisors (2497720).

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

2266304 is a wasteful number, since it uses less digits than its factorization.

2266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2266304 is about 1505.4248569756. The cubic root of 2266304 is about 131.3528161865.

The spelling of 2266304 in words is "two million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2083 4166 8332 16664 33328 35411 66656 70822 133312 141644 283288 566576 1133152 2266304