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2004031224 = 2332132141059
BaseRepresentation
bin111011101110011…
…0001011011111000
312011122221100000200
41313130301123320
513101012444344
6530505202200
7100442661426
oct16734613370
95148840020
102004031224
11939250358
1247b190360
1325c2591c0
14150228116
15bae0c069
hex777316f8

2004031224 has 48 divisors (see below), whose sum is σ = 5845093800. Its totient is φ = 616624704.

The previous prime is 2004031219. The next prime is 2004031307. The reversal of 2004031224 is 4221304002.

It is a super-2 number, since 2×20040312242 = 8032282293533876352, which contains 22 as substring.

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 = 2004031197 and 2004031206.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1069594 + ... + 1071465.

Almost surely, 22004031224 is an apocalyptic number.

2004031224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004031224 is an abundant number, since it is smaller than the sum of its proper divisors (3841062576).

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

2004031224 is a wasteful number, since it uses less digits than its factorization.

2004031224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141084 (or 2141077 counting only the distinct ones).

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

The square root of 2004031224 is about 44766.4073162008. The cubic root of 2004031224 is about 1260.7669857854.

Adding to 2004031224 its reverse (4221304002), we get a palindrome (6225335226).

The spelling of 2004031224 in words is "two billion, four million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2141059 4282118 6423177 8564236 12846354 17128472 19269531 25692708 27833767 38539062 51385416 55667534 77078124 83501301 111335068 154156248 167002602 222670136 250503903 334005204 501007806 668010408 1002015612 2004031224