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2584233 = 32287137
BaseRepresentation
bin1001110110111010101001
311212021220100
421312322221
51130143413
6131220013
730652131
oct11667251
94767810
102584233
111505633
12a47609
136c6342
144b3ac1
15360a73
hex276ea9

2584233 has 6 divisors (see below), whose sum is σ = 3732794. Its totient is φ = 1722816.

The previous prime is 2584229. The next prime is 2584249. The reversal of 2584233 is 3324852.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 1172889 = 1188^2 + 1083^2 .

It is not a de Polignac number, because 2584233 - 22 = 2584229 is a prime.

It is a d-powerful number, because it can be written as 213 + 59 + 85 + 48 + 219 + 34 + 35 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2584197 and 2584206.

It is not an unprimeable number, because it can be changed into a prime (2584213) 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 5 ways as a sum of consecutive naturals, for example, 143560 + ... + 143577.

22584233 is an apocalyptic number.

It is an amenable number.

2584233 is a deficient number, since it is larger than the sum of its proper divisors (1148561).

2584233 is a wasteful number, since it uses less digits than its factorization.

2584233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287143 (or 287140 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2584233 is about 1607.5549757318. The cubic root of 2584233 is about 137.2283651089.

The spelling of 2584233 in words is "two million, five hundred eighty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 287137 861411 2584233