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2220664225 = 521324753211
BaseRepresentation
bin1000010001011100…
…1010010110100001
312201202120102122011
42010113022112201
514021442223400
61004204312521
7106013222503
oct20427122641
95652512564
102220664225
11a3a56399a
1251b842741
132950b8200
14170cd9d73
15cee4e8ba
hex845ca5a1

2220664225 has 72 divisors (see below), whose sum is σ = 3117336192. Its totient is φ = 1567238400.

The previous prime is 2220664217. The next prime is 2220664247. The reversal of 2220664225 is 5224660222.

It is a happy number.

It is not a de Polignac number, because 2220664225 - 23 = 2220664217 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 10524370 + ... + 10524580.

It is an arithmetic number, because the mean of its divisors is an integer number (43296336).

Almost surely, 22220664225 is an apocalyptic number.

2220664225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2220664225 is a deficient number, since it is larger than the sum of its proper divisors (896671967).

2220664225 is a wasteful number, since it uses less digits than its factorization.

2220664225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2220664225 is about 47123.9241256498. The cubic root of 2220664225 is about 1304.6508414455.

The spelling of 2220664225 in words is "two billion, two hundred twenty million, six hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 47 53 65 169 211 235 265 325 611 689 845 1055 1175 1325 2491 2743 3055 3445 4225 5275 7943 8957 9917 11183 12455 13715 15275 17225 32383 35659 39715 44785 49585 55915 62275 68575 128921 145379 161915 178295 198575 223925 247925 279575 420979 525601 644605 726895 809575 891475 1675973 1889927 2104895 2628005 3223025 3634475 6832813 8379865 9449635 10524475 13140025 34164065 41899325 47248175 88826569 170820325 444132845 2220664225