Search a number
-
+
2275360 = 25514221
BaseRepresentation
bin1000101011100000100000
311021121012121
420223200200
51040302420
6120434024
725224463
oct10534040
94247177
102275360
11131456a
12918914
13618889
144332da
152ee2aa
hex22b820

2275360 has 24 divisors (see below), whose sum is σ = 5375916. Its totient is φ = 910080.

The previous prime is 2275349. The next prime is 2275363. The reversal of 2275360 is 635722.

It can be written as a sum of positive squares in 2 ways, for example, as 2274064 + 1296 = 1508^2 + 36^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2275363) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6951 + ... + 7270.

22275360 is an apocalyptic number.

2275360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2275360 is an abundant number, since it is smaller than the sum of its proper divisors (3100556).

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

2275360 is a wasteful number, since it uses less digits than its factorization.

2275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14228 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2275360 is about 1508.4296470171. The cubic root of 2275360 is about 131.5275426990.

The spelling of 2275360 in words is "two million, two hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14221 28442 56884 71105 113768 142210 227536 284420 455072 568840 1137680 2275360