Search a number
-
+
225957137241 = 31131478746141
BaseRepresentation
bin1101001001110000011…
…0000100101101011001
3210121020100012212202210
43102130012010231121
512200230011342431
6251445301345333
722216266655653
oct3223406045531
9717210185683
10225957137241
1187911a05640
1237960708249
13183ccc35c94
14ad176196d3
155d271acd46
hex349c184b59

225957137241 has 32 divisors (see below), whose sum is σ = 339345248256. Its totient is φ = 132495624000.

The previous prime is 225957137227. The next prime is 225957137269. The reversal of 225957137241 is 142731759522.

It is not a de Polignac number, because 225957137241 - 211 = 225957135193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225957137221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4874031 + ... + 4920171.

It is an arithmetic number, because the mean of its divisors is an integer number (10604539008).

Almost surely, 2225957137241 is an apocalyptic number.

It is an amenable number.

225957137241 is a deficient number, since it is larger than the sum of its proper divisors (113388111015).

225957137241 is a wasteful number, since it uses less digits than its factorization.

225957137241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50973.

The product of its digits is 1058400, while the sum is 48.

The spelling of 225957137241 in words is "two hundred twenty-five billion, nine hundred fifty-seven million, one hundred thirty-seven thousand, two hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1023 4787 14361 46141 52657 138423 148397 157971 445191 507551 1430371 1522653 1632367 4291113 4897101 15734081 47202243 220876967 662630901 2429646637 6847185977 7288939911 20541557931 75319045747 225957137241