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2004221032 = 2311375910433
BaseRepresentation
bin111011101110101…
…1111110001101000
312011200021222101121
41313131133301220
513101040033112
6530513225024
7100444412002
oct16735376150
95150258347
102004221032
1193936aa20
1247b262174
1325c2c4708
14150277372
15bae48407
hex7775fc68

2004221032 has 64 divisors (see below), whose sum is σ = 4282113600. Its totient is φ = 871280640.

The previous prime is 2004221029. The next prime is 2004221057. The reversal of 2004221032 is 2301224002.

It is a super-2 number, since 2×20042210322 = 8033803890222290048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004220997 and 2004221015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186888 + ... + 197320.

It is an arithmetic number, because the mean of its divisors is an integer number (66908025).

Almost surely, 22004221032 is an apocalyptic number.

2004221032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141056800).

2004221032 is an abundant number, since it is smaller than the sum of its proper divisors (2277892568).

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

2004221032 is a wasteful number, since it uses less digits than its factorization.

2004221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2004221032 is about 44768.5272485035. The cubic root of 2004221032 is about 1260.8067882433.

Adding to 2004221032 its reverse (2301224002), we get a palindrome (4305445034).

The spelling of 2004221032 in words is "two billion, four million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 37 44 59 74 88 118 148 236 296 407 472 649 814 1298 1628 2183 2596 3256 4366 5192 8732 10433 17464 20866 24013 41732 48026 83464 96052 114763 192104 229526 386021 459052 615547 772042 918104 1231094 1544084 2462188 3088168 4246231 4924376 6771017 8492462 13542034 16984924 22775239 27084068 33969848 45550478 54168136 91100956 182201912 250527629 501055258 1002110516 2004221032