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2280450 = 235223661
BaseRepresentation
bin1000101100110000000010
311021212012010
420230300002
51040433300
6120513350
725245354
oct10546002
94255163
102280450
111318377
1291b856
1361aca3
144350d4
15300a50
hex22cc02

2280450 has 48 divisors (see below), whose sum is σ = 5910336. Its totient is φ = 580800.

The previous prime is 2280433. The next prime is 2280451. The reversal of 2280450 is 540822.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2280451) 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 23 ways as a sum of consecutive naturals, for example, 3120 + ... + 3780.

It is an arithmetic number, because the mean of its divisors is an integer number (123132).

22280450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955168).

2280450 is an abundant number, since it is smaller than the sum of its proper divisors (3629886).

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

2280450 is a wasteful number, since it uses less digits than its factorization.

2280450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2280450 is about 1510.1158895926. The cubic root of 2280450 is about 131.6255457410.

The spelling of 2280450 in words is "two million, two hundred eighty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 661 690 1150 1322 1725 1983 3305 3450 3966 6610 9915 15203 16525 19830 30406 33050 45609 49575 76015 91218 99150 152030 228045 380075 456090 760150 1140225 2280450