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225686502853956 = 22321721472832
BaseRepresentation
bin110011010100001010111011…
…110101010100110101000100
31002121002102022102110000202100
4303110022323311110311010
5214040121424212311311
62115554540442512100
765352211634151234
oct6324127365246504
91077072272400670
10225686502853956
1165a02121253991
122138b681205630
1398c11b8709051
143da33dc151cc4
151b159557e9a56
hexcd42bbd54d44

225686502853956 has 81 divisors (see below), whose sum is σ = 606021399393501. Its totient is φ = 70803128006784.

The previous prime is 225686502853951. The next prime is 225686502853979. The reversal of 225686502853956 is 659358205686522.

The square root of 225686502853956 is 15022866.

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

225686502853956 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 8 + 6 + 502 + 85 + 39 + 5 + 6 = 666.

225686502853956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175707484920900 + 49979017933056 = 13255470^2 + 7069584^2 .

It is not an unprimeable number, because it can be changed into a prime (225686502853951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1532258691 + ... + 1532405973.

Almost surely, 2225686502853956 is an apocalyptic number.

225686502853956 is the 15022866-th square number.

It is an amenable number.

225686502853956 is an abundant number, since it is smaller than the sum of its proper divisors (380334896539545).

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

225686502853956 is an frugal number, since it uses more digits than its factorization.

225686502853956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294610 (or 147305 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 225686502853956 in words is "two hundred twenty-five trillion, six hundred eighty-six billion, five hundred two million, eight hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 147283 294566 441849 589132 883698 1325547 1767396 2503811 2651094 5007622 5302188 7511433 10015244 15022866 22534299 30045732 42564787 45068598 85129574 90137196 127694361 170259148 255388722 383083083 510777444 766166166 1532332332 21692282089 43384564178 65076846267 86769128356 130153692534 195230538801 260307385068 368768795513 390461077602 737537591026 780922155204 1106306386539 1475075182052 2212612773078 3318919159617 4425225546156 6269069523721 6637838319234 12538139047442 13275676638468 18807208571163 25076278094884 37614417142326 56421625713489 75228834284652 112843251426978 225686502853956