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225782976330 = 23258861283117
BaseRepresentation
bin1101001001000110110…
…1101100111101001010
3210120210012111120220200
43102101231230331022
512144400420220310
6251420120433030
722212053430132
oct3222155547512
9716705446820
10225782976330
11878326709aa
1237912318776
13183a2b27aa2
14acdc441ac2
155d16c599c0
hex3491b6cf4a

225782976330 has 48 divisors (see below), whose sum is σ = 587104061544. Its totient is φ = 60201786240.

The previous prime is 225782976329. The next prime is 225782976371. The reversal of 225782976330 is 33679287522.

225782976330 is a `hidden beast` number, since 2 + 2 + 578 + 2 + 9 + 7 + 63 + 3 + 0 = 666.

225782976330 is digitally balanced in base 3, 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 4 ways, for example, as 216456632001 + 9326344329 = 465249^2 + 96573^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655932 + ... + 939048.

Almost surely, 2225782976330 is an apocalyptic number.

225782976330 is an abundant number, since it is smaller than the sum of its proper divisors (361321085214).

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

225782976330 is a wasteful number, since it uses less digits than its factorization.

225782976330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291991 (or 291988 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 225782976330 in words is "two hundred twenty-five billion, seven hundred eighty-two million, nine hundred seventy-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 8861 17722 26583 44305 53166 79749 88610 132915 159498 265830 283117 398745 566234 797490 849351 1415585 1698702 2548053 2831170 4246755 5096106 8493510 12740265 25480530 2508699737 5017399474 7526099211 12543498685 15052198422 22578297633 25086997370 37630496055 45156595266 75260992110 112891488165 225782976330