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216722836225 = 52724722832
BaseRepresentation
bin1100100111010110110…
…0000000101100000001
3202201101210020210012001
43021311230000230001
512022322021224400
6243321110304001
721441410466400
oct3116554005401
9681353223161
10216722836225
1183a03433605
1236004058001
131758aa7bb3c
14a6bd053637
15598664da6a
hex3275b00b01

216722836225 has 81 divisors (see below), whose sum is σ = 320537088387. Its totient is φ = 144934080480.

The previous prime is 216722836181. The next prime is 216722836229. The reversal of 216722836225 is 522638227612.

The square root of 216722836225 is 465535.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78020221041 + 138702615184 = 279321^2 + 372428^2 .

It is not a de Polignac number, because 216722836225 - 27 = 216722836097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216722836229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 765804934 + ... + 765805216.

Almost surely, 2216722836225 is an apocalyptic number.

216722836225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216722836225 is the 465535-th square number.

216722836225 is the 232768-th centered octagonal number.

It is an amenable number.

216722836225 is a deficient number, since it is larger than the sum of its proper divisors (103814252162).

216722836225 is an frugal number, since it uses more digits than its factorization.

216722836225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 216722836225 in words is "two hundred sixteen billion, seven hundred twenty-two million, eight hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 47 49 175 235 245 283 329 1175 1225 1415 1645 1981 2209 2303 7075 8225 9905 11045 11515 13301 13867 15463 49525 55225 57575 66505 69335 77315 80089 93107 108241 332525 346675 386575 400445 465535 541205 560623 625147 651749 2002225 2327675 2706025 2803115 3125735 3258745 3764183 3924361 4376029 14015575 15628675 16293725 18820915 19621805 21880145 26349281 30632203 94104575 98109025 109400725 131746405 153161015 176916601 184444967 658732025 765805075 884583005 922224835 1238416207 4422915025 4611124175 6192081035 8668913449 30960405175 43344567245 216722836225