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2004331231 = 72227367491
BaseRepresentation
bin111011101110111…
…1010101011011111
312011200111120120001
41313131322223133
513101102044411
6530515435131
7100445351200
oct16735725337
95150446501
102004331231
119394357a1
1247b2b5aa7
1325c332916
141502a55a7
15bae6adc1
hex7777aadf

2004331231 has 24 divisors (see below), whose sum is σ = 2353003776. Its totient is φ = 1702295280.

The previous prime is 2004331187. The next prime is 2004331243. The reversal of 2004331231 is 1321334002.

It is not a de Polignac number, because 2004331231 - 215 = 2004298463 is a prime.

It is a super-2 number, since 2×20043312312 = 8034687367123950722, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2004331199 and 2004331208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081896 + ... + 4082386.

It is an arithmetic number, because the mean of its divisors is an integer number (98041824).

Almost surely, 22004331231 is an apocalyptic number.

2004331231 is a deficient number, since it is larger than the sum of its proper divisors (348672545).

2004331231 is a wasteful number, since it uses less digits than its factorization.

2004331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2004331231 is about 44769.7579957721. The cubic root of 2004331231 is about 1260.8298956582.

Adding to 2004331231 its reverse (1321334002), we get a palindrome (3325665233).

The spelling of 2004331231 in words is "two billion, four million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 49 227 367 491 1589 2569 3437 11123 17983 24059 83309 111457 180197 583163 780199 1261379 4082141 5461393 8829653 40904719 286333033 2004331231