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225918353672 = 23112152772
BaseRepresentation
bin1101001001100111001…
…0001000000100001000
3210121010122020110201022
43102121302020010020
512200140044304142
6251441354212012
722215316215224
oct3223162100410
9717118213638
10225918353672
11878a2025a00
123794b724008
13183c4ba701b
14ad12401784
155d23a9b6d2
hex3499c88108

225918353672 has 36 divisors (see below), whose sum is σ = 465637003965. Its totient is φ = 102683438880.

The previous prime is 225918353579. The next prime is 225918353693. The reversal of 225918353672 is 276353819522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225918353672 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 2 ways, for example, as 174301240036 + 51617113636 = 417494^2 + 227194^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336094.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 14780498 + ... + 14795774.

Almost surely, 2225918353672 is an apocalyptic number.

225918353672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225918353672 is an abundant number, since it is smaller than the sum of its proper divisors (239718650293).

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

225918353672 is an frugal number, since it uses more digits than its factorization.

225918353672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30582 (or 15290 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The spelling of 225918353672 in words is "two hundred twenty-five billion, nine hundred eighteen million, three hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 15277 30554 61108 122216 168047 336094 672188 1344376 1848517 3697034 7394068 14788136 233386729 466773458 933546916 1867093832 2567254019 5134508038 10269016076 20538032152 28239794209 56479588418 112959176836 225918353672