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2266875 = 32541331
BaseRepresentation
bin1000101001011011111011
311021011120100
420221123323
51040020000
6120330443
725160652
oct10513373
94234510
102266875
111309156
12913a23
13614a60
14430199
152eba00
hex2296fb

2266875 has 60 divisors (see below), whose sum is σ = 4548544. Its totient is φ = 1080000.

The previous prime is 2266861. The next prime is 2266883. The reversal of 2266875 is 5786622.

It is not a de Polignac number, because 2266875 - 28 = 2266619 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (70).

2266875 is a lucky number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 73110 + ... + 73140.

22266875 is an apocalyptic number.

2266875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2266875 is an abundant number, since it is smaller than the sum of its proper divisors (2281669).

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

2266875 is a wasteful number, since it uses less digits than its factorization.

2266875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2266875 is about 1505.6144924914. The cubic root of 2266875 is about 131.3638467985.

The spelling of 2266875 in words is "two million, two hundred sixty-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 31 39 45 65 75 93 117 125 155 195 225 279 325 375 403 465 585 625 775 975 1125 1209 1395 1625 1875 2015 2325 2925 3627 3875 4875 5625 6045 6975 8125 10075 11625 14625 18135 19375 24375 30225 34875 50375 58125 73125 90675 151125 174375 251875 453375 755625 2266875