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225613357753 = 7299521116731
BaseRepresentation
bin1101001000011110011…
…0101010001010111001
3210120100101100001222011
43102013212222022321
512144024004422003
6251351221125521
722204623620260
oct3220746521271
9716311301864
10225613357753
1187755949a63
12378855598a1
131837694a274
14acc3acb5d7
155d06e0246d
hex34879aa2b9

225613357753 has 16 divisors (see below), whose sum is σ = 266765304960. Its totient is φ = 186693292800.

The previous prime is 225613357709. The next prime is 225613357757. The reversal of 225613357753 is 357753316522.

225613357753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225613357753 - 217 = 225613226681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225613357697 and 225613357706.

It is not an unprimeable number, because it can be changed into a prime (225613357757) 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, 1874398 + ... + 1991128.

It is an arithmetic number, because the mean of its divisors is an integer number (16672831560).

Almost surely, 2225613357753 is an apocalyptic number.

It is an amenable number.

225613357753 is a deficient number, since it is larger than the sum of its proper divisors (41151947207).

225613357753 is a wasteful number, since it uses less digits than its factorization.

225613357753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126288.

The product of its digits is 3969000, while the sum is 49.

The spelling of 225613357753 in words is "two hundred twenty-five billion, six hundred thirteen million, three hundred fifty-seven thousand, seven hundred fifty-three".

Divisors: 1 7 29 203 9521 66647 116731 276109 817117 1932763 3385199 23696393 1111395851 7779770957 32230479679 225613357753