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2315144 = 2313113197
BaseRepresentation
bin1000110101001110001000
311100121210002
420311032020
51043041034
6121342132
725451456
oct10651610
94317702
102315144
111341447
12937948
13630a10
144439d6
1530ae7e
hex235388

2315144 has 32 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 1053696.

The previous prime is 2315141. The next prime is 2315149. The reversal of 2315144 is 4415132.

It can be written as a sum of positive squares in 4 ways, for example, as 1592644 + 722500 = 1262^2 + 850^2 .

It is not an unprimeable number, because it can be changed into a prime (2315141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11654 + ... + 11850.

22315144 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 2315144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370060).

2315144 is an abundant number, since it is smaller than the sum of its proper divisors (2424976).

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

2315144 is a wasteful number, since it uses less digits than its factorization.

2315144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 2315144 is about 1521.5597260706. The cubic root of 2315144 is about 132.2896912870.

The spelling of 2315144 in words is "two million, three hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 113 197 226 394 452 788 904 1469 1576 2561 2938 5122 5876 10244 11752 20488 22261 44522 89044 178088 289393 578786 1157572 2315144