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2230584 = 23392941
BaseRepresentation
bin1000100000100100111000
311012022210020
420200210320
51032334314
6115450440
724650106
oct10404470
94168706
102230584
111293964
128b6a20
13601395
14420c76
152e0da9
hex220938

2230584 has 16 divisors (see below), whose sum is σ = 5576520. Its totient is φ = 743520.

The previous prime is 2230583. The next prime is 2230589. The reversal of 2230584 is 4850322.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 92941 = 2230584 / (2 + 2 + 3 + 0 + 5 + 8 + 4).

It is a d-powerful number, because it can be written as 211 + 217 + 35 + 0 + 5 + 87 + 43 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230583) 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, 46447 + ... + 46494.

22230584 is an apocalyptic number.

2230584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230584 is an abundant number, since it is smaller than the sum of its proper divisors (3345936).

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

2230584 is a wasteful number, since it uses less digits than its factorization.

2230584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92950 (or 92946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2230584 is about 1493.5139771693. The cubic root of 2230584 is about 130.6590594396.

The spelling of 2230584 in words is "two million, two hundred thirty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 92941 185882 278823 371764 557646 743528 1115292 2230584