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2258875 = 53171063
BaseRepresentation
bin1000100111011110111011
311020202121001
420213132323
51034241000
6120225431
725125433
oct10473673
94222531
102258875
111303143
1290b277
13611218
1442b2c3
152e946a
hex2277bb

2258875 has 16 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 1699200.

The previous prime is 2258873. The next prime is 2258903. The reversal of 2258875 is 5788522.

2258875 is a nontrivial binomial coefficient, being equal to C(2126, 2).

It is not a de Polignac number, because 2258875 - 21 = 2258873 is a prime.

It is a d-powerful number, because it can be written as 211 + 221 + 57 + 83 + 83 + 74 + 57 .

It is a Duffinian number.

2258875 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2258873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594 + ... + 2656.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

22258875 is an apocalyptic number.

2258875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2258875 is the 2125-th triangular number and also the 1063-rd hexagonal number.

2258875 is the 709-th centered nonagonal number.

2258875 is a deficient number, since it is larger than the sum of its proper divisors (728837).

2258875 is a wasteful number, since it uses less digits than its factorization.

2258875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its digits is 44800, while the sum is 37.

The square root of 2258875 is about 1502.9554218273. The cubic root of 2258875 is about 131.2091331573.

The spelling of 2258875 in words is "two million, two hundred fifty-eight thousand, eight hundred seventy-five".

Divisors: 1 5 17 25 85 125 425 1063 2125 5315 18071 26575 90355 132875 451775 2258875