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2004213144 = 233431942067
BaseRepresentation
bin111011101110101…
…1101110110011000
312011200021120120110
41313131131312120
513101034310034
6530513124320
7100444350003
oct16735356630
95150246513
102004213144
11939364aaa
1247b2596a0
1325c2c0c4b
1415027453a
15bae45de9
hex7775dd98

2004213144 has 32 divisors (see below), whose sum is σ = 5127059520. Its totient is φ = 652534176.

The previous prime is 2004213137. The next prime is 2004213199. The reversal of 2004213144 is 4413124002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004213144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970002 + ... + 972065.

It is an arithmetic number, because the mean of its divisors is an integer number (160220610).

Almost surely, 22004213144 is an apocalyptic number.

2004213144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004213144 is an abundant number, since it is smaller than the sum of its proper divisors (3122846376).

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

2004213144 is a wasteful number, since it uses less digits than its factorization.

2004213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942119 (or 1942115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2004213144 is about 44768.4391508125. The cubic root of 2004213144 is about 1260.8051341914.

Adding to 2004213144 its reverse (4413124002), we get a palindrome (6417337146).

The spelling of 2004213144 in words is "two billion, four million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1942067 3884134 5826201 7768268 11652402 15536536 23304804 46609608 83508881 167017762 250526643 334035524 501053286 668071048 1002106572 2004213144