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2220610656 = 253112102851
BaseRepresentation
bin1000010001011011…
…1101010001100000
312201202110201011010
42010112331101200
514021434020111
61004203220520
7106012610355
oct20426752140
95652421133
102220610656
11a3a527720
1251b817740
13295099a04
14170cc462c
15cee3daa6
hex845bd460

2220610656 has 48 divisors (see below), whose sum is σ = 6359024448. Its totient is φ = 672912000.

The previous prime is 2220610619. The next prime is 2220610727. The reversal of 2220610656 is 6560160222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22206106562 = 9862223371081500672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1050370 + ... + 1052481.

It is an arithmetic number, because the mean of its divisors is an integer number (132479676).

Almost surely, 22220610656 is an apocalyptic number.

It is an amenable number.

2220610656 is an abundant number, since it is smaller than the sum of its proper divisors (4138413792).

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

2220610656 is a wasteful number, since it uses less digits than its factorization.

2220610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102875 (or 2102867 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2220610656 is about 47123.3557378929. The cubic root of 2220610656 is about 1304.6403506800.

Adding to 2220610656 its reverse (6560160222), we get a palindrome (8780770878).

The spelling of 2220610656 in words is "two billion, two hundred twenty million, six hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2102851 4205702 6308553 8411404 12617106 16822808 23131361 25234212 33645616 46262722 50468424 67291232 69394083 92525444 100936848 138788166 185050888 201873696 277576332 370101776 555152664 740203552 1110305328 2220610656