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2314820 = 225115741
BaseRepresentation
bin1000110101001001000100
311100121100002
420311021010
51043033240
6121340432
725450514
oct10651104
94317302
102314820
111341182
12937718
13630821
14443844
1530ad15
hex235244

2314820 has 12 divisors (see below), whose sum is σ = 4861164. Its totient is φ = 925920.

The previous prime is 2314817. The next prime is 2314841. The reversal of 2314820 is 284132.

2314820 = 752 + 762 + ... + 1942.

It can be written as a sum of positive squares in 2 ways, for example, as 264196 + 2050624 = 514^2 + 1432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 115741 = 2314820 / (2 + 3 + 1 + 4 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2314792 and 2314801.

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, 57851 + ... + 57890.

It is an arithmetic number, because the mean of its divisors is an integer number (405097).

22314820 is an apocalyptic number.

2314820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314820 is an abundant number, since it is smaller than the sum of its proper divisors (2546344).

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

2314820 is a wasteful number, since it uses less digits than its factorization.

2314820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115750 (or 115748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2314820 is about 1521.4532526502. The cubic root of 2314820 is about 132.2835197689.

Adding to 2314820 its reverse (284132), we get a palindrome (2598952).

The spelling of 2314820 in words is "two million, three hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 115741 231482 462964 578705 1157410 2314820