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2301135440 = 24528764193
BaseRepresentation
bin1000100100101000…
…1000101001010000
312221100222210101112
42021022020221100
514203042313230
61020201152452
7111011220452
oct21112105120
95840883345
102301135440
11a80a2712a
1254278b728
132a8981c06
1417b8862d2
15d7047d95
hex89288a50

2301135440 has 20 divisors (see below), whose sum is σ = 5350140084. Its totient is φ = 920454144.

The previous prime is 2301135427. The next prime is 2301135451. The reversal of 2301135440 is 445311032.

It can be written as a sum of positive squares in 2 ways, for example, as 1442176576 + 858958864 = 37976^2 + 29308^2 .

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

It is a congruent number.

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, 14382017 + ... + 14382176.

Almost surely, 22301135440 is an apocalyptic number.

2301135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301135440 is an abundant number, since it is smaller than the sum of its proper divisors (3049004644).

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

2301135440 is a wasteful number, since it uses less digits than its factorization.

2301135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28764206 (or 28764200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2301135440 is about 47970.1515528146. The cubic root of 2301135440 is about 1320.2233016775.

Adding to 2301135440 its reverse (445311032), we get a palindrome (2746446472).

The spelling of 2301135440 in words is "two billion, three hundred one million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28764193 57528386 115056772 143820965 230113544 287641930 460227088 575283860 1150567720 2301135440