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2283008 = 297313
BaseRepresentation
bin1000101101011000000000
311021222200212
420231120000
51041024013
6120533252
725256000
oct10553000
94258625
102283008
11131a292
12921228
1361c1c0
14436000
153016a8
hex22d600

2283008 has 80 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 903168.

The previous prime is 2282989. The next prime is 2283013. The reversal of 2283008 is 8003822.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 175610 + ... + 175622.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

22283008 is an apocalyptic number.

2283008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

2283008 is an abundant number, since it is smaller than the sum of its proper divisors (3445792).

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

2283008 is an frugal number, since it uses more digits than its factorization.

2283008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2283008 is about 1510.9626070820. The cubic root of 2283008 is about 131.6747425124.

The spelling of 2283008 in words is "two million, two hundred eighty-three thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 343 364 392 416 448 512 637 686 728 784 832 896 1274 1372 1456 1568 1664 1792 2548 2744 2912 3136 3328 3584 4459 5096 5488 5824 6272 6656 8918 10192 10976 11648 12544 17836 20384 21952 23296 25088 35672 40768 43904 46592 71344 81536 87808 142688 163072 175616 285376 326144 570752 1141504 2283008