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2263008 = 253112143
BaseRepresentation
bin1000101000011111100000
311020222021010
420220133200
51034404013
6120300520
725143456
oct10503740
94228233
102263008
111306260
12911740
13613077
1442c9d6
152ea7c3
hex2287e0

2263008 has 48 divisors (see below), whose sum is σ = 6483456. Its totient is φ = 685440.

The previous prime is 2263007. The next prime is 2263061. The reversal of 2263008 is 8003622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (135072).

22263008 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 2263008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241728).

2263008 is an abundant number, since it is smaller than the sum of its proper divisors (4220448).

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

2263008 is a wasteful number, since it uses less digits than its factorization.

2263008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2263008 is about 1504.3297510852. The cubic root of 2263008 is about 131.2891076206.

The spelling of 2263008 in words is "two million, two hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2143 4286 6429 8572 12858 17144 23573 25716 34288 47146 51432 68576 70719 94292 102864 141438 188584 205728 282876 377168 565752 754336 1131504 2263008