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2122110084 = 2233119129867
BaseRepresentation
bin111111001111100…
…1101010010000100
312110220010100202210
41332133031102010
513321230010314
6550324103420
7103405431603
oct17637152204
95426110683
102122110084
1199996a796
124b2834b70
1327a85c853
14161ba3a3a
15c6483559
hex7e7cd484

2122110084 has 48 divisors (see below), whose sum is σ = 5138251776. Its totient is φ = 680944800.

The previous prime is 2122110083. The next prime is 2122110121. The reversal of 2122110084 is 4800112212.

It is a super-2 number, since 2×21221100842 = 9006702417228974112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122110084.

It is not an unprimeable number, because it can be changed into a prime (2122110083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56119 + ... + 85985.

It is an arithmetic number, because the mean of its divisors is an integer number (107046912).

Almost surely, 22122110084 is an apocalyptic number.

It is an amenable number.

2122110084 is an abundant number, since it is smaller than the sum of its proper divisors (3016141692).

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

2122110084 is a wasteful number, since it uses less digits than its factorization.

2122110084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30096 (or 30094 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2122110084 is about 46066.3660819909. The cubic root of 2122110084 is about 1285.0577240442.

Adding to 2122110084 its reverse (4800112212), we get a palindrome (6922222296).

The spelling of 2122110084 in words is "two billion, one hundred twenty-two million, one hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 191 372 382 573 764 1146 2292 5921 11842 17763 23684 29867 35526 59734 71052 89601 119468 179202 358404 925877 1851754 2777631 3703508 5555262 5704597 11110524 11409194 17113791 22818388 34227582 68455164 176842507 353685014 530527521 707370028 1061055042 2122110084