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2260004141 = 3766539181
BaseRepresentation
bin1000011010110100…
…1110110100101101
312211111121002212002
42012231032310231
514112030113031
61012131422045
7110001501233
oct20655166455
95744532762
102260004141
11a5a79361a
12530a54925
132a02b0475
1417621a953
15d3620ccb
hex86b4ed2d

2260004141 has 8 divisors (see below), whose sum is σ = 2321687064. Its totient is φ = 2198352960.

The previous prime is 2260004119. The next prime is 2260004177. The reversal of 2260004141 is 1414000622.

It can be written as a sum of positive squares in 4 ways, for example, as 310781641 + 1949222500 = 17629^2 + 44150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2260004141 - 210 = 2260003117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241571 + ... + 250751.

It is an arithmetic number, because the mean of its divisors is an integer number (290210883).

Almost surely, 22260004141 is an apocalyptic number.

It is an amenable number.

2260004141 is a deficient number, since it is larger than the sum of its proper divisors (61682923).

2260004141 is an equidigital number, since it uses as much as digits as its factorization.

2260004141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871.

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

The square root of 2260004141 is about 47539.5008492937. The cubic root of 2260004141 is about 1312.3099196358.

Adding to 2260004141 its reverse (1414000622), we get a palindrome (3674004763).

The spelling of 2260004141 in words is "two billion, two hundred sixty million, four thousand, one hundred forty-one".

Divisors: 1 37 6653 9181 246161 339697 61081193 2260004141