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2282816 = 2653673
BaseRepresentation
bin1000101101010101000000
311021222102202
420231111000
51041022231
6120532332
725255304
oct10552500
94258382
102282816
11131a128
129210a8
1361c0a3
14435d04
153015cb
hex22d540

2282816 has 28 divisors (see below), whose sum is σ = 4622292. Its totient is φ = 1118208.

The previous prime is 2282807. The next prime is 2282849. The reversal of 2282816 is 6182822.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 1081600 = 1096^2 + 1040^2 .

It is a super-2 number, since 2×22828162 = 10422497779712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3056 + ... + 3728.

22282816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311146).

2282816 is an abundant number, since it is smaller than the sum of its proper divisors (2339476).

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

2282816 is an equidigital number, since it uses as much as digits as its factorization.

2282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 2282816 is about 1510.8990700904. The cubic root of 2282816 is about 131.6710511456.

The spelling of 2282816 in words is "two million, two hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 673 848 1346 1696 2692 3392 5384 10768 21536 35669 43072 71338 142676 285352 570704 1141408 2282816