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2004013422 = 232535094127
BaseRepresentation
bin111011101110010…
…1101000101101110
312011122220102121100
41313130231011232
513101011412142
6530504543530
7100442555505
oct16734550556
95148812540
102004013422
11939238a44
1247b181ba6
1325c251078
1415022183c
15bae06b4c
hex7772d16e

2004013422 has 48 divisors (see below), whose sum is σ = 4433719680. Its totient is φ = 653954496.

The previous prime is 2004013421. The next prime is 2004013433. The reversal of 2004013422 is 2243104002.

2004013422 is a `hidden beast` number, since 200 + 40 + 1 + 3 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2004013395 and 2004013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004013421) 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 23 ways as a sum of consecutive naturals, for example, 483523 + ... + 487649.

It is an arithmetic number, because the mean of its divisors is an integer number (92369160).

Almost surely, 22004013422 is an apocalyptic number.

2004013422 is an abundant number, since it is smaller than the sum of its proper divisors (2429706258).

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

2004013422 is a wasteful number, since it uses less digits than its factorization.

2004013422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004013422 is about 44766.2084836319. The cubic root of 2004013422 is about 1260.7632526033.

Adding to 2004013422 its reverse (2243104002), we get a palindrome (4247117424).

The spelling of 2004013422 in words is "two billion, four million, thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 509 954 1018 1527 3054 4127 4581 8254 9162 12381 24762 26977 37143 53954 74286 80931 161862 218731 242793 437462 485586 656193 1312386 1968579 2100643 3937158 4201286 6301929 12603858 18905787 37811574 111334079 222668158 334002237 668004474 1002006711 2004013422