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2005220368 = 243123317351
BaseRepresentation
bin111011110000101…
…0011110000010000
312011202011202020001
41313201103300100
513101314022433
6530550455344
7100456043344
oct16741236020
95152152201
102005220368
11939992818
1247b664554
1325c584538
14150457624
15bb09457d
hex77853c10

2005220368 has 40 divisors (see below), whose sum is σ = 4027885056. Its totient is φ = 966048000.

The previous prime is 2005220311. The next prime is 2005220387. The reversal of 2005220368 is 8630225002.

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, 106893 + ... + 124243.

Almost surely, 22005220368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005220368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013942528).

2005220368 is an abundant number, since it is smaller than the sum of its proper divisors (2022664688).

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

2005220368 is a wasteful number, since it uses less digits than its factorization.

2005220368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17623 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2005220368 is about 44779.6870020325. The cubic root of 2005220368 is about 1261.0163060954.

The spelling of 2005220368 in words is "two billion, five million, two hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 233 248 466 496 932 1864 3728 7223 14446 17351 28892 34702 57784 69404 115568 138808 277616 537881 1075762 2151524 4042783 4303048 8085566 8606096 16171132 32342264 64684528 125326273 250652546 501305092 1002610184 2005220368