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2280448 = 21017131
BaseRepresentation
bin1000101100110000000000
311021212012001
420230300000
51040433243
6120513344
725245352
oct10546000
94255161
102280448
111318375
1291b854
1361aca1
144350d2
15300a4d
hex22cc00

2280448 has 44 divisors (see below), whose sum is σ = 4863672. Its totient is φ = 1064960.

The previous prime is 2280433. The next prime is 2280451. The reversal of 2280448 is 8440822.

It is a d-powerful number, because it can be written as 211 + 217 + 85 + 0 + 45 + 47 + 87 .

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17343 + ... + 17473.

It is an arithmetic number, because the mean of its divisors is an integer number (110538).

22280448 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 2280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431836).

2280448 is an abundant number, since it is smaller than the sum of its proper divisors (2583224).

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

2280448 is a wasteful number, since it uses less digits than its factorization.

2280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2280448 is about 1510.1152273916. The cubic root of 2280448 is about 131.6255072615.

The spelling of 2280448 in words is "two million, two hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 256 262 272 512 524 544 1024 1048 1088 2096 2176 2227 4192 4352 4454 8384 8704 8908 16768 17408 17816 33536 35632 67072 71264 134144 142528 285056 570112 1140224 2280448