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2286828 = 2232139457
BaseRepresentation
bin1000101110010011101100
311022011221100
420232103230
51041134303
6121003100
725303065
oct10562354
94264840
102286828
111322145
12923490
13620b6b
1443756c
153028a3
hex22e4ec

2286828 has 36 divisors (see below), whose sum is σ = 5834920. Its totient is φ = 755136.

The previous prime is 2286827. The next prime is 2286833. The reversal of 2286828 is 8286822.

2286828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2286792 and 2286801.

It is not an unprimeable number, because it can be changed into a prime (2286827) 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, 4776 + ... + 5232.

22286828 is an apocalyptic number.

It is an amenable number.

2286828 is an abundant number, since it is smaller than the sum of its proper divisors (3548092).

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

2286828 is a wasteful number, since it uses less digits than its factorization.

2286828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2286828 is about 1512.2261735600. The cubic root of 2286828 is about 131.7481423476.

It can be divided in two parts, 228 and 6828, that added together give a square (7056 = 842).

The spelling of 2286828 in words is "two million, two hundred eighty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 457 556 834 914 1251 1371 1668 1828 2502 2742 4113 5004 5484 8226 16452 63523 127046 190569 254092 381138 571707 762276 1143414 2286828