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2014224048 = 243219238747
BaseRepresentation
bin111100000001110…
…1001111010110000
312012101010011221200
41320003221322300
513111120132143
6531511451200
7100625423214
oct17003517260
95171104850
102014224048
11943a82381
12482686b00
132613b7765
1415171c944
15bbc721d3
hex780e9eb0

2014224048 has 90 divisors (see below), whose sum is σ = 5949484164. Its totient is φ = 636054336.

The previous prime is 2014224041. The next prime is 2014224049. The reversal of 2014224048 is 8404224102.

It is not an unprimeable number, because it can be changed into a prime (2014224041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32611 + ... + 71357.

Almost surely, 22014224048 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 2014224048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974742082).

2014224048 is an abundant number, since it is smaller than the sum of its proper divisors (3935260116).

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

2014224048 is a wasteful number, since it uses less digits than its factorization.

2014224048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38799 (or 38771 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2014224048 is about 44880.1074865023. The cubic root of 2014224048 is about 1262.9008597751.

The spelling of 2014224048 in words is "two billion, fourteen million, two hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 25992 38747 51984 77494 116241 154988 232482 309976 348723 464964 619952 697446 736193 929928 1394892 1472386 1859856 2208579 2789784 2944772 4417158 5579568 5889544 6625737 8834316 11779088 13251474 13987667 17668632 26502948 27975334 35337264 41963001 53005896 55950668 83926002 106011792 111901336 125889003 167852004 223802672 251778006 335704008 503556012 671408016 1007112024 2014224048