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225133132242 = 23172235644981
BaseRepresentation
bin1101000110101011111…
…0101111100111010010
3210112002220201002102010
43101222332233213102
512142033040212432
6251231424203350
722160003023014
oct3215276574722
9715086632363
10225133132242
1187529869477
1237770769556
13182cb2c9a65
14ac7a0021b4
155cc9b933cc
hex346afaf9d2

225133132242 has 48 divisors (see below), whose sum is σ = 499106728512. Its totient is φ = 67559120640.

The previous prime is 225133132241. The next prime is 225133132243. The reversal of 225133132242 is 242231331522.

It is an interprime number because it is at equal distance from previous prime (225133132241) and next prime (225133132243).

It is not an unprimeable number, because it can be changed into a prime (225133132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782609 + ... + 2862372.

It is an arithmetic number, because the mean of its divisors is an integer number (10398056844).

Almost surely, 2225133132242 is an apocalyptic number.

225133132242 is an abundant number, since it is smaller than the sum of its proper divisors (273973596270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225133132242 is a wasteful number, since it uses less digits than its factorization.

225133132242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645043 (or 5645026 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 225133132242 its reverse (242231331522), we get a palindrome (467364463764).

The spelling of 225133132242 in words is "two hundred twenty-five billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 289 391 578 782 867 1173 1734 2346 6647 13294 19941 39882 5644981 11289962 16934943 33869886 95964677 129834563 191929354 259669126 287894031 389503689 575788062 779007378 1631399509 2207187571 3262799018 4414375142 4894198527 6621562713 9788397054 13243125426 37522188707 75044377414 112566566121 225133132242