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2301120164 = 227238930181
BaseRepresentation
bin1000100100101000…
…0100111010100100
312221100222000102202
42021022010322210
514203041321124
61020200554032
7111011125100
oct21112047244
95840860382
102301120164
11a80a16702
12542782918
132a8977c85
1417b880900
15d70435ae
hex89284ea4

2301120164 has 36 divisors (see below), whose sum is σ = 4696621020. Its totient is φ = 983626560.

The previous prime is 2301120139. The next prime is 2301120167. The reversal of 2301120164 is 4610211032.

It can be written as a sum of positive squares in 2 ways, for example, as 786353764 + 1514766400 = 28042^2 + 38920^2 .

It is not an unprimeable number, because it can be changed into a prime (2301120167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61154 + ... + 91334.

It is an arithmetic number, because the mean of its divisors is an integer number (130461695).

Almost surely, 22301120164 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 2301120164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348310510).

2301120164 is an abundant number, since it is smaller than the sum of its proper divisors (2395500856).

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

2301120164 is a wasteful number, since it uses less digits than its factorization.

2301120164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2301120164 is about 47969.9923285381. The cubic root of 2301120164 is about 1320.2203802537.

Adding to 2301120164 its reverse (4610211032), we get a palindrome (6911331196).

The spelling of 2301120164 in words is "two billion, three hundred one million, one hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 389 778 1556 2723 5446 10892 19061 30181 38122 60362 76244 120724 211267 422534 845068 1478869 2957738 5915476 11740409 23480818 46961636 82182863 164365726 328731452 575280041 1150560082 2301120164