Search a number
-
+
2297840 = 24528723
BaseRepresentation
bin1000110000111111110000
311022202001012
420300333300
51042012330
6121130052
725350146
oct10607760
94282035
102297840
11132a446
12929928
13625b8c
1443b596
15305c95
hex230ff0

2297840 has 20 divisors (see below), whose sum is σ = 5342664. Its totient is φ = 919104.

The previous prime is 2297819. The next prime is 2297843. The reversal of 2297840 is 487922.

2297840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2297797 and 2297806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14282 + ... + 14441.

22297840 is an apocalyptic number.

2297840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2297840 is an abundant number, since it is smaller than the sum of its proper divisors (3044824).

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

2297840 is a wasteful number, since it uses less digits than its factorization.

2297840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28736 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2297840 is about 1515.8627906245. The cubic root of 2297840 is about 131.9592773065.

The spelling of 2297840 in words is "two million, two hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28723 57446 114892 143615 229784 287230 459568 574460 1148920 2297840