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2220005040 = 243511840911
BaseRepresentation
bin1000010001010010…
…1001011010110000
312201201022221101220
42010110221122300
514021310130130
61004142225040
7106004505621
oct20424513260
95651287356
102220005040
11a3a153710
1251b585180
13294c17166
14170ba7a48
15ced6e410
hex845296b0

2220005040 has 80 divisors (see below), whose sum is σ = 7507662336. Its totient is φ = 538182400.

The previous prime is 2220005009. The next prime is 2220005059. The reversal of 2220005040 is 405000222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 417816 + ... + 423095.

Almost surely, 22220005040 is an apocalyptic number.

2220005040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220005040 is an abundant number, since it is smaller than the sum of its proper divisors (5287657296).

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

2220005040 is a wasteful number, since it uses less digits than its factorization.

2220005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840938 (or 840932 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2220005040 is about 47116.9294415500. The cubic root of 2220005040 is about 1304.5217372246.

Adding to 2220005040 its reverse (405000222), we get a palindrome (2625005262).

The spelling of 2220005040 in words is "two billion, two hundred twenty million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 840911 1681822 2522733 3363644 4204555 5045466 6727288 8409110 9250021 10090932 12613665 13454576 16818220 18500042 20181864 25227330 27750063 33636440 37000084 40363728 46250105 50454660 55500126 67272880 74000168 92500210 100909320 111000252 138750315 148000336 185000420 201818640 222000504 277500630 370000840 444001008 555001260 740001680 1110002520 2220005040