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2283840 = 263251361
BaseRepresentation
bin1000101101100101000000
311022000211200
420231211000
51041040330
6120541200
725261266
oct10554500
94260750
102283840
11131a979
12921800
1361c6b0
14436436
15301a60
hex22d940

2283840 has 168 divisors, whose sum is σ = 8598408. Its totient is φ = 552960.

The previous prime is 2283839. The next prime is 2283851. The reversal of 2283840 is 483822.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 2214144 = 264^2 + 1488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37410 + ... + 37470.

It is an arithmetic number, because the mean of its divisors is an integer number (51181).

22283840 is an apocalyptic number.

2283840 is a gapful number since it is divisible by the number (20) 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 2283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299204).

2283840 is an abundant number, since it is smaller than the sum of its proper divisors (6314568).

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

2283840 is a wasteful number, since it uses less digits than its factorization.

2283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2283840 is about 1511.2379031774. The cubic root of 2283840 is about 131.6907360437.

The spelling of 2283840 in words is "two million, two hundred eighty-three thousand, eight hundred forty".