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225729930425 = 5210498607433
BaseRepresentation
bin1101001000111010001…
…1010110010010111001
3210120122111200120121112
43102032203112102321
512144243330233200
6251410543450105
722210540515266
oct3221643262271
9716574616545
10225729930425
118780572a80a
12378b85b6935
1318394b4418c
14acd539426d
155d1227c535
hex348e8d64b9

225729930425 has 12 divisors (see below), whose sum is σ = 280171976700. Its totient is φ = 180411774720.

The previous prime is 225729930409. The next prime is 225729930457. The reversal of 225729930425 is 524039927522.

It is a happy number.

225729930425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34637676544 + 191092253881 = 186112^2 + 437141^2 .

It is not a de Polignac number, because 225729930425 - 24 = 225729930409 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 4277492 + ... + 4329941.

It is an arithmetic number, because the mean of its divisors is an integer number (23347664725).

Almost surely, 2225729930425 is an apocalyptic number.

225729930425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225729930425 is a deficient number, since it is larger than the sum of its proper divisors (54442046275).

225729930425 is a wasteful number, since it uses less digits than its factorization.

225729930425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608492 (or 8608487 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 225729930425 in words is "two hundred twenty-five billion, seven hundred twenty-nine million, nine hundred thirty thousand, four hundred twenty-five".

Divisors: 1 5 25 1049 5245 26225 8607433 43037165 215185825 9029197217 45145986085 225729930425