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2166065424 = 243241366881
BaseRepresentation
bin1000000100011011…
…1000100100010000
312120221211112011100
42001012320210100
513414003043144
6554534144400
7104451152355
oct20106704420
95527745140
102166065424
11a11762016
125054b2100
132869ac823
1416796662c
15ca267269
hex811b8910

2166065424 has 60 divisors (see below), whose sum is σ = 6209844732. Its totient is φ = 704409600.

The previous prime is 2166065423. The next prime is 2166065431. The reversal of 2166065424 is 4245606612.

2166065424 is a `hidden beast` number, since 2 + 1 + 6 + 606 + 5 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341067024 + 1824998400 = 18468^2 + 42720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2166065423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177537 + ... + 189344.

Almost surely, 22166065424 is an apocalyptic number.

2166065424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2166065424 is an abundant number, since it is smaller than the sum of its proper divisors (4043779308).

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

2166065424 is a wasteful number, since it uses less digits than its factorization.

2166065424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366936 (or 366927 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2166065424 is about 46541.0079822086. The cubic root of 2166065424 is about 1293.8696424816.

The spelling of 2166065424 in words is "two billion, one hundred sixty-six million, sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 366881 733762 1100643 1467524 2201286 2935048 3301929 4402572 5870096 6603858 8805144 13207716 15042121 17610288 26415432 30084242 45126363 52830864 60168484 90252726 120336968 135379089 180505452 240673936 270758178 361010904 541516356 722021808 1083032712 2166065424