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2000284 = 2211132269
BaseRepresentation
bin111101000010110011100
310202121212121
413220112130
51003002114
6110512324
723000506
oct7502634
93677777
102000284
111146930
128056a4
13550600
143a0d76
15297a24
hex1e859c

2000284 has 36 divisors (see below), whose sum is σ = 4150440. Its totient is φ = 836160.

The previous prime is 2000281. The next prime is 2000291. The reversal of 2000284 is 4820002.

It is a super-2 number, since 2×20002842 = 8002272161312, which contains 22 as substring.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7302 + ... + 7570.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

22000284 is an apocalyptic number.

It is an amenable number.

2000284 is an abundant number, since it is smaller than the sum of its proper divisors (2150156).

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

2000284 is a wasteful number, since it uses less digits than its factorization.

2000284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2000284 is about 1414.3139679718. The cubic root of 2000284 is about 125.9980683335.

Adding to 2000284 its reverse (4820002), we get a palindrome (6820286).

The spelling of 2000284 in words is "two million, two hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 11 13 22 26 44 52 143 169 269 286 338 538 572 676 1076 1859 2959 3497 3718 5918 6994 7436 11836 13988 38467 45461 76934 90922 153868 181844 500071 1000142 2000284