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2004313212 = 2232112460127
BaseRepresentation
bin111011101110111…
…0110010001111100
312011200110122211200
41313131312101330
513101101010322
6530515215500
7100445244516
oct16735662174
95150418750
102004313212
11939423200
1247b2a7590
1325c327665
1415029cbb6
15bae658ac
hex7777647c

2004313212 has 54 divisors (see below), whose sum is σ = 5568929184. Its totient is φ = 607366320.

The previous prime is 2004313183. The next prime is 2004313247. The reversal of 2004313212 is 2123134002.

2004313212 is a `hidden beast` number, since 20 + 0 + 431 + 3 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225708 + ... + 234419.

Almost surely, 22004313212 is an apocalyptic number.

2004313212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2004313212 is an abundant number, since it is smaller than the sum of its proper divisors (3564615972).

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

2004313212 is a wasteful number, since it uses less digits than its factorization.

2004313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460159 (or 460143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2004313212 is about 44769.5567545626. The cubic root of 2004313212 is about 1260.8261173470.

Adding to 2004313212 its reverse (2123134002), we get a palindrome (4127447214).

The spelling of 2004313212 in words is "two billion, four million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 460127 920254 1380381 1840508 2760762 4141143 5061397 5521524 8282286 10122794 15184191 16564572 20245588 30368382 45552573 55675367 60736764 91105146 111350734 167026101 182210292 222701468 334052202 501078303 668104404 1002156606 2004313212