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225061133148 = 2234694633127
BaseRepresentation
bin1101000110011010110…
…0000101101101011100
3210111220220020011020000
43101212230011231130
512141411122230043
6251220333054300
722155140032065
oct3214654055534
9714826204200
10225061133148
11874a2162495
1237750627390
13182b940b347
14ac7061d56c
155cc36c02d3
hex3466b05b5c

225061133148 has 30 divisors (see below), whose sum is σ = 588354259416. Its totient is φ = 75020377608.

The previous prime is 225061133119. The next prime is 225061133191. The reversal of 225061133148 is 841331160522.

225061133148 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 611 + 3 + 31 + 4 + 8 = 666.

225061133148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 347316240 + ... + 347316887.

Almost surely, 2225061133148 is an apocalyptic number.

It is an amenable number.

225061133148 is an abundant number, since it is smaller than the sum of its proper divisors (363293126268).

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

225061133148 is a wasteful number, since it uses less digits than its factorization.

225061133148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694633143 (or 694633132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 225061133148 in words is "two hundred twenty-five billion, sixty-one million, one hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 694633127 1389266254 2083899381 2778532508 4167798762 6251698143 8335597524 12503396286 18755094429 25006792572 37510188858 56265283287 75020377716 112530566574 225061133148