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225513542033 = 1323533780169
BaseRepresentation
bin1101001000000110100…
…1111001000110010001
3210120002102111220112122
43102001221321012101
512143322431321113
6251333253504025
722202302323323
oct3220151710621
9716072456478
10225513542033
1187704573a2a
1237858042015
131835c06c600
14acb4747613
155ced287408
hex3481a79191

225513542033 has 12 divisors (see below), whose sum is σ = 244886972940. Its totient is φ = 207576585216.

The previous prime is 225513541999. The next prime is 225513542057. The reversal of 225513542033 is 330245315522.

It can be written as a sum of positive squares in 6 ways, for example, as 101332715584 + 124180826449 = 318328^2 + 352393^2 .

It is not a de Polignac number, because 225513542033 - 26 = 225513541969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225513541984 and 225513542002.

It is not an unprimeable number, because it can be changed into a prime (225513542063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1830428 + ... + 1949741.

It is an arithmetic number, because the mean of its divisors is an integer number (20407247745).

Almost surely, 2225513542033 is an apocalyptic number.

It is an amenable number.

225513542033 is a deficient number, since it is larger than the sum of its proper divisors (19373430907).

225513542033 is a wasteful number, since it uses less digits than its factorization.

225513542033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780548 (or 3780535 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 225513542033 its reverse (330245315522), we get a palindrome (555758857555).

The spelling of 225513542033 in words is "two hundred twenty-five billion, five hundred thirteen million, five hundred forty-two thousand, thirty-three".

Divisors: 1 13 169 353 4589 59657 3780169 49142197 638848561 1334399657 17347195541 225513542033