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2280832 = 27103173
BaseRepresentation
bin1000101100110110000000
311021212201021
420230312000
51040441312
6120515224
725246441
oct10546600
94255637
102280832
111318694
1291bb14
1361b208
144352c8
15300c07
hex22cd80

2280832 has 32 divisors (see below), whose sum is σ = 4614480. Its totient is φ = 1122816.

The previous prime is 2280827. The next prime is 2280833. The reversal of 2280832 is 2380822.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×22808322 = 10404389224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2280797 and 2280806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13098 + ... + 13270.

22280832 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 2280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307240).

2280832 is an abundant number, since it is smaller than the sum of its proper divisors (2333648).

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

2280832 is a wasteful number, since it uses less digits than its factorization.

2280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2280832 is about 1510.2423646554. The cubic root of 2280832 is about 131.6328948974.

The spelling of 2280832 in words is "two million, two hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 103 128 173 206 346 412 692 824 1384 1648 2768 3296 5536 6592 11072 13184 17819 22144 35638 71276 142552 285104 570208 1140416 2280832