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242324203225 = 5213257354841
BaseRepresentation
bin1110000110101110100…
…1011110011011011001
3212011110222201222102211
43201223221132123121
512432234444000400
6303153332355121
723336006512336
oct3415351363331
9764428658384
10242324203225
1193850771555
123ab69a75aa1
1319b0aa6c200
14ba2b21b98d
15648400ddba
hex386ba5e6d9

242324203225 has 18 divisors (see below), whose sum is σ = 325374018666. Its totient is φ = 178947100800.

The previous prime is 242324203223. The next prime is 242324203243. The reversal of 242324203225 is 522302423242.

It can be written as a sum of positive squares in 9 ways, for example, as 221331670681 + 20992532544 = 470459^2 + 144888^2 .

It is not a de Polignac number, because 242324203225 - 21 = 242324203223 is a prime.

It is a super-2 number, since 2×2423242032252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242324203223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28673196 + ... + 28681645.

Almost surely, 2242324203225 is an apocalyptic number.

242324203225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242324203225 is a deficient number, since it is larger than the sum of its proper divisors (83049815441).

242324203225 is a wasteful number, since it uses less digits than its factorization.

242324203225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57354877 (or 57354859 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

Adding to 242324203225 its reverse (522302423242), we get a palindrome (764626626467).

The spelling of 242324203225 in words is "two hundred forty-two billion, three hundred twenty-four million, two hundred three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 57354841 286774205 745612933 1433871025 3728064665 9692968129 18640323325 48464840645 242324203225