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225006622074 = 23213961566761
BaseRepresentation
bin1101000110001101110…
…0001001010101111010
3210111210002122201002100
43101203130021111322
512141303143401244
6251211104444230
722153605505503
oct3214334112572
9714702581070
10225006622074
1187474410513
1237736319676
13182ab033880
14ac672adbaa
155cbda03b69
hex346370957a

225006622074 has 24 divisors (see below), whose sum is σ = 525015452052. Its totient is φ = 69232806720.

The previous prime is 225006622021. The next prime is 225006622117. The reversal of 225006622074 is 470226600522.

225006622074 is a `hidden beast` number, since 2 + 2 + 500 + 6 + 62 + 20 + 74 = 666.

225006622074 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 2 ways, for example, as 221431419225 + 3575202849 = 470565^2 + 59793^2 .

It is a super-2 number, since 2×2250066220742 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480783147 + ... + 480783614.

Almost surely, 2225006622074 is an apocalyptic number.

225006622074 is an abundant number, since it is smaller than the sum of its proper divisors (300008829978).

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

225006622074 is a wasteful number, since it uses less digits than its factorization.

225006622074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961566782 (or 961566779 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 225006622074 in words is "two hundred twenty-five billion, six million, six hundred twenty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 961566761 1923133522 2884700283 5769400566 8654100849 12500367893 17308201698 25000735786 37501103679 75002207358 112503311037 225006622074