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2220480816 = 243291595173
BaseRepresentation
bin1000010001011001…
…1101100100110000
312201202020010001020
42010112131210300
514021420341231
61004200335440
7106011530001
oct20426354460
95652203036
102220480816
11a3a449114
1251b774580
13295052898
14170c8d1a8
15cee15396
hex8459d930

2220480816 has 40 divisors (see below), whose sum is σ = 5934047280. Its totient is φ = 714637056.

The previous prime is 2220480781. The next prime is 2220480817. The reversal of 2220480816 is 6180840222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2220480817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796195 + ... + 798978.

It is an arithmetic number, because the mean of its divisors is an integer number (148351182).

Almost surely, 22220480816 is an apocalyptic number.

It is an amenable number.

2220480816 is an abundant number, since it is smaller than the sum of its proper divisors (3713566464).

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

2220480816 is a wasteful number, since it uses less digits than its factorization.

2220480816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595213 (or 1595207 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2220480816 is about 47121.9780569534. The cubic root of 2220480816 is about 1304.6149225687.

The spelling of 2220480816 in words is "two billion, two hundred twenty million, four hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1595173 3190346 4785519 6380692 9571038 12761384 19142076 25522768 38284152 46260017 76568304 92520034 138780051 185040068 277560102 370080136 555120204 740160272 1110240408 2220480816