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282954844225 = 5219125572
BaseRepresentation
bin1000001111000010110…
…11000100100001000001
31000001100121110101202101
410013201123010201001
514113442420003400
6333553200150401
726304612330544
oct4074133044101
91001317411671
10282954844225
11aa0006a64a9
1246a09008401
13208b4688011
14d9a346a85b
15756106756a
hex41e16c4841

282954844225 has 27 divisors (see below), whose sum is σ = 353344978441. Its totient is φ = 224774453600.

The previous prime is 282954844223. The next prime is 282954844241. The reversal of 282954844225 is 522448459282.

The square root of 282954844225 is 531935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97283481409 + 185671362816 = 311903^2 + 430896^2 .

It is not a de Polignac number, because 282954844225 - 21 = 282954844223 is a prime.

It is a super-3 number, since 3×2829548442253 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282954844223) 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, 507997647 + ... + 507998203.

Almost surely, 2282954844225 is an apocalyptic number.

282954844225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

282954844225 is the 531935-th square number.

282954844225 is the 265968-th centered octagonal number.

It is an amenable number.

282954844225 is a deficient number, since it is larger than the sum of its proper divisors (70390134216).

282954844225 is an frugal number, since it uses more digits than its factorization.

282954844225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 55.

The spelling of 282954844225 in words is "two hundred eighty-two billion, nine hundred fifty-four million, eight hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 191 557 955 2785 4775 13925 36481 106387 182405 310249 531935 912025 1551245 2659675 7756225 20319917 59257559 101599585 296287795 507997925 1481438975 11318193769 56590968845 282954844225