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2073856224 = 253113076397
BaseRepresentation
bin111101110011100…
…1000100011100000
312100112022210220210
41323213020203200
513221401344344
6541441534120
7102251326026
oct17347104340
95315283823
102073856224
11974701970
1249a644340
1327086617b
14159602716
15c2100db9
hex7b9c88e0

2073856224 has 96 divisors (see below), whose sum is σ = 5959046016. Its totient is φ = 626296320.

The previous prime is 2073856199. The next prime is 2073856271. The reversal of 2073856224 is 4226583702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 320994 + ... + 327390.

It is an arithmetic number, because the mean of its divisors is an integer number (62073396).

Almost surely, 22073856224 is an apocalyptic number.

2073856224 is a gapful number since it is divisible by the number (24) 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 2073856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979523008).

2073856224 is an abundant number, since it is smaller than the sum of its proper divisors (3885189792).

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

2073856224 is a wasteful number, since it uses less digits than its factorization.

2073856224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2073856224 is about 45539.6115925465. The cubic root of 2073856224 is about 1275.2428037397.

The spelling of 2073856224 in words is "two billion, seventy-three million, eight hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 307 352 528 614 921 1056 1228 1842 2456 3377 3684 4912 6397 6754 7368 9824 10131 12794 13508 14736 19191 20262 25588 27016 29472 38382 40524 51176 54032 70367 76764 81048 102352 108064 140734 153528 162096 204704 211101 281468 307056 324192 422202 562936 614112 844404 1125872 1688808 1963879 2251744 3377616 3927758 5891637 6755232 7855516 11783274 15711032 21602669 23566548 31422064 43205338 47133096 62844128 64808007 86410676 94266192 129616014 172821352 188532384 259232028 345642704 518464056 691285408 1036928112 2073856224