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2283288 = 233713591
BaseRepresentation
bin1000101101011100011000
311022000002020
420231130120
51041031123
6120534440
725256550
oct10553430
94260066
102283288
11131a517
12921420
1361c377
14436160
153017e3
hex22d718

2283288 has 32 divisors (see below), whose sum is σ = 6524160. Its totient is φ = 652320.

The previous prime is 2283227. The next prime is 2283301. The reversal of 2283288 is 8823822.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6628 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (203880).

22283288 is an apocalyptic number.

2283288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2283288 is an abundant number, since it is smaller than the sum of its proper divisors (4240872).

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

2283288 is a wasteful number, since it uses less digits than its factorization.

2283288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13603 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2283288 is about 1511.0552604058. The cubic root of 2283288 is about 131.6801253845.

The spelling of 2283288 in words is "two million, two hundred eighty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13591 27182 40773 54364 81546 95137 108728 163092 190274 285411 326184 380548 570822 761096 1141644 2283288