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224960980607 = 11129127135839
BaseRepresentation
bin1101000110000010111…
…0000010011001111111
3210111122220202212202122
43101200232002121333
512141210002334412
6251202354313155
722152512533136
oct3214056023177
9714586685678
10224960980607
11874506773a0
1237722b887bb
13182a174329c
14ac611cc91d
155cb99da572
hex3460b8267f

224960980607 has 16 divisors (see below), whose sum is σ = 245734679040. Its totient is φ = 204241262400.

The previous prime is 224960980549. The next prime is 224960980627. The reversal of 224960980607 is 706089069422.

224960980607 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 224960980607 - 232 = 220666013311 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224960980627) 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, 38524394 + ... + 38530232.

It is an arithmetic number, because the mean of its divisors is an integer number (15358417440).

Almost surely, 2224960980607 is an apocalyptic number.

224960980607 is a deficient number, since it is larger than the sum of its proper divisors (20773698433).

224960980607 is a wasteful number, since it uses less digits than its factorization.

224960980607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 224960980607 in words is "two hundred twenty-four billion, nine hundred sixty million, nine hundred eighty thousand, six hundred seven".

Divisors: 1 11 1291 2713 5839 14201 29843 64229 3502483 7538149 15841207 38527313 82919639 174253277 20450998237 224960980607