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2295280 = 245132207
BaseRepresentation
bin1000110000010111110000
311022121112101
420300113300
51041422110
6121110144
725336531
oct10602760
94277471
102295280
111328529
12928354
13624970
1443a688
1530513a
hex2305f0

2295280 has 40 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 847104.

The previous prime is 2295269. The next prime is 2295281. The reversal of 2295280 is 825922.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 2143.

22295280 is an apocalyptic number.

2295280 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 2295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874816).

2295280 is an abundant number, since it is smaller than the sum of its proper divisors (3454352).

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

2295280 is a wasteful number, since it uses less digits than its factorization.

2295280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2295280 is about 1515.0181517064. The cubic root of 2295280 is about 131.9102542704.

It can be divided in two parts, 22952 and 80, that added together give a palindrome (23032).

The spelling of 2295280 in words is "two million, two hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2207 4414 8828 11035 17656 22070 28691 35312 44140 57382 88280 114764 143455 176560 229528 286910 459056 573820 1147640 2295280