Search a number
-
+
2275728 = 243713521
BaseRepresentation
bin1000101011100110010000
311021121201020
420223212100
51040310403
6120435440
725225530
oct10534620
94247636
102275728
111314874
12918b80
13618ab0
144334c0
152ee453
hex22b990

2275728 has 80 divisors (see below), whose sum is σ = 7249536. Its totient is φ = 599040.

The previous prime is 2275723. The next prime is 2275733. The reversal of 2275728 is 8275722.

It is an interprime number because it is at equal distance from previous prime (2275723) and next prime (2275733).

It is not an unprimeable number, because it can be changed into a prime (2275723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108 + ... + 4628.

22275728 is an apocalyptic number.

2275728 is a gapful number since it is divisible by the number (28) 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 2275728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624768).

2275728 is an abundant number, since it is smaller than the sum of its proper divisors (4973808).

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

2275728 is a wasteful number, since it uses less digits than its factorization.

2275728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 2275728 is about 1508.5516232466. The cubic root of 2275728 is about 131.5346330827.

It can be divided in two parts, 2275 and 728, that added together give a palindrome (3003).

The spelling of 2275728 in words is "two million, two hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 521 546 624 728 1042 1092 1456 1563 2084 2184 3126 3647 4168 4368 6252 6773 7294 8336 10941 12504 13546 14588 20319 21882 25008 27092 29176 40638 43764 47411 54184 58352 81276 87528 94822 108368 142233 162552 175056 189644 284466 325104 379288 568932 758576 1137864 2275728