Search a number
-
+
2066224113540 = 2233512401308551
BaseRepresentation
bin11110000100010100100…
…011011110011110000100
321022112021201012101101000
4132010110203132132010
5232323111333113130
64221113225333300
7302164650116256
oct36042443363604
97275251171330
102066224113540
1172730a711534
12294546337230
1311cac8638182
1472011c0dcd6
1538b31d87260
hex1e1148de784

2066224113540 has 96 divisors (see below), whose sum is σ = 6428791998720. Its totient is φ = 550946880000.

The previous prime is 2066224113523. The next prime is 2066224113559. The reversal of 2066224113540 is 453114226602.

2066224113540 is a `hidden beast` number, since 2 + 0 + 6 + 62 + 2 + 41 + 13 + 540 = 666.

It is a super-2 number, since 2×20662241135402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2066224113495 and 2066224113504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6542265 + ... + 6850815.

It is an arithmetic number, because the mean of its divisors is an integer number (66966583320).

Almost surely, 22066224113540 is an apocalyptic number.

2066224113540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066224113540 is an abundant number, since it is smaller than the sum of its proper divisors (4362567885180).

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

2066224113540 is a wasteful number, since it uses less digits than its factorization.

2066224113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320970 (or 320962 counting only the distinct ones).

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

The spelling of 2066224113540 in words is "two trillion, sixty-six billion, two hundred twenty-four million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12401 24802 37203 49604 62005 74406 111609 124010 148812 186015 223218 248020 308551 334827 372030 446436 558045 617102 669654 744060 925653 1116090 1234204 1339308 1542755 1674135 1851306 2232180 2776959 3085510 3348270 3702612 4628265 5553918 6171020 6696540 8330877 9256530 11107836 13884795 16661754 18513060 27769590 33323508 41654385 55539180 83308770 166617540 3826340951 7652681902 11479022853 15305363804 19131704755 22958045706 34437068559 38263409510 45916091412 57395114265 68874137118 76526819020 103311205677 114790228530 137748274236 172185342795 206622411354 229580457060 344370685590 413244822708 516556028385 688741371180 1033112056770 2066224113540