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2275848 = 233273433
BaseRepresentation
bin1000101011101000001000
311021121212200
420223220020
51040311343
6120440200
725226061
oct10535010
94247780
102275848
111314973
12919060
13618b73
14433568
152ee4d3
hex22ba08

2275848 has 48 divisors (see below), whose sum is σ = 6262620. Its totient is φ = 746496.

The previous prime is 2275843. The next prime is 2275853. The reversal of 2275848 is 8485722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2275843) and next prime (2275853).

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 79524 = 1482^2 + 282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2275843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5040 + ... + 5472.

22275848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131310).

2275848 is an abundant number, since it is smaller than the sum of its proper divisors (3986772).

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

2275848 is a wasteful number, since it uses less digits than its factorization.

2275848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2275848 is about 1508.5913959718. The cubic root of 2275848 is about 131.5369449991.

The spelling of 2275848 in words is "two million, two hundred seventy-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 433 438 584 657 866 876 1299 1314 1732 1752 2598 2628 3464 3897 5196 5256 7794 10392 15588 31176 31609 63218 94827 126436 189654 252872 284481 379308 568962 758616 1137924 2275848