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2004231541 = 13179068921
BaseRepresentation
bin111011101110110…
…0010010101110101
312011200022111210211
41313131202111311
513101040402131
6530513345421
7100444454434
oct16735422565
95150274724
102004231541
11939377904
1247b268271
1325c2c9430
1415027b11b
15bae4b5b1
hex77762575

2004231541 has 8 divisors (see below), whose sum is σ = 2285368344. Its totient is φ = 1741232640.

The previous prime is 2004231529. The next prime is 2004231547. The reversal of 2004231541 is 1451324002.

It can be written as a sum of positive squares in 4 ways, for example, as 333792900 + 1670438641 = 18270^2 + 40871^2 .

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 2004231541 - 215 = 2004198773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004231547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4534240 + ... + 4534681.

It is an arithmetic number, because the mean of its divisors is an integer number (285671043).

Almost surely, 22004231541 is an apocalyptic number.

It is an amenable number.

2004231541 is a deficient number, since it is larger than the sum of its proper divisors (281136803).

2004231541 is a wasteful number, since it uses less digits than its factorization.

2004231541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068951.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2004231541 is about 44768.6446187507. The cubic root of 2004231541 is about 1260.8089918917.

Adding to 2004231541 its reverse (1451324002), we get a palindrome (3455555543).

The spelling of 2004231541 in words is "two billion, four million, two hundred thirty-one thousand, five hundred forty-one".

Divisors: 1 13 17 221 9068921 117895973 154171657 2004231541