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2273040 = 2432571141
BaseRepresentation
bin1000101010111100010000
311021111000200
420222330100
51040214130
6120415200
725214640
oct10527420
94244020
102273040
111312850
12917500
136177c3
14432520
152ed760
hex22af10

2273040 has 240 divisors, whose sum is σ = 9749376. Its totient is φ = 460800.

The previous prime is 2273017. The next prime is 2273041. The reversal of 2273040 is 403722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55420 + ... + 55460.

22273040 is an apocalyptic number.

2273040 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 2273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2273040 is an abundant number, since it is smaller than the sum of its proper divisors (7476336).

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

2273040 is a wasteful number, since it uses less digits than its factorization.

2273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2273040 is about 1507.6604392236. The cubic root of 2273040 is about 131.4828248422.

Adding to 2273040 its reverse (403722), we get a palindrome (2676762).

The spelling of 2273040 in words is "two million, two hundred seventy-three thousand, forty".