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225067730067 = 323110125033191
BaseRepresentation
bin1101000110011100010…
…1010000010010010011
3210111221100122022111100
43101213011100102103
512141414314330232
6251221130315443
722155250066065
oct3214705202223
9714840568440
10225067730067
11874a5958894
1237752888b83
13182ba8aac4b
14ac71459735
155cc4074c7c
hex3467150493

225067730067 has 48 divisors (see below), whose sum is σ = 339149131776. Its totient is φ = 143664840000.

The previous prime is 225067730047. The next prime is 225067730081. The reversal of 225067730067 is 760037760522.

225067730067 is a `hidden beast` number, since 225 + 0 + 67 + 7 + 300 + 67 = 666.

It is not a de Polignac number, because 225067730067 - 227 = 224933512339 is a prime.

It is a super-4 number, since 4×2250677300674 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (225067730047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70530442 + ... + 70533632.

It is an arithmetic number, because the mean of its divisors is an integer number (7065606912).

Almost surely, 2225067730067 is an apocalyptic number.

225067730067 is a deficient number, since it is larger than the sum of its proper divisors (114081401709).

225067730067 is a wasteful number, since it uses less digits than its factorization.

225067730067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 225067730067 in words is "two hundred twenty-five billion, sixty-seven million, seven hundred thirty thousand, sixty-seven".

Divisors: 1 3 9 31 93 101 279 303 909 2503 3131 3191 7509 9393 9573 22527 28179 28719 77593 98921 232779 252803 296763 322291 698337 758409 890289 966873 2275227 2900619 7836893 7987073 9991021 23510679 23961219 29973063 70532037 71883657 89919189 247599263 742797789 806694373 2228393367 2420083119 7260249357 25007525563 75022576689 225067730067