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225730646647 = 11731283219103
BaseRepresentation
bin1101001000111010011…
…0000101001001110111
3210120122120000222002021
43102032212011021313
512144244021143042
6251411011054011
722210546560352
oct3221646051167
9716576028067
10225730646647
1187806079930
12378b88a1307
131839503518c
14acd54dd299
155d1236e867
hex348e985277

225730646647 has 16 divisors (see below), whose sum is σ = 249820627968. Its totient is φ = 202239910080.

The previous prime is 225730646639. The next prime is 225730646651. The reversal of 225730646647 is 746646037522.

It is a happy number.

225730646647 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 225730646647 - 23 = 225730646639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225730646594 and 225730646603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225730646147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 920698 + ... + 1139800.

It is an arithmetic number, because the mean of its divisors is an integer number (15613789248).

Almost surely, 2225730646647 is an apocalyptic number.

225730646647 is a deficient number, since it is larger than the sum of its proper divisors (24089981321).

225730646647 is a wasteful number, since it uses less digits than its factorization.

225730646647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220470.

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 225730646647 in words is "two hundred twenty-five billion, seven hundred thirty million, six hundred forty-six thousand, six hundred forty-seven".

Divisors: 1 11 73 803 1283 14113 93659 219103 1030249 2410133 15994519 175939709 281109149 3092200639 20520967877 225730646647