Search a number
-
+
242304224001 = 3729397872289
BaseRepresentation
bin1110000110101001110…
…1010000101100000001
3212011102121010221002120
43201222131100230001
512432214340132001
6303151340234453
723335344631020
oct3415235205401
9764377127076
10242304224001
11938404658a4
123ab6323ba29
1319b06895398
14ba286da8b7
1564823b4236
hex386a750b01

242304224001 has 16 divisors (see below), whose sum is σ = 381957398400. Its totient is φ = 133685088768.

The previous prime is 242304223969. The next prime is 242304224017. The reversal of 242304224001 is 100422403242.

It is not a de Polignac number, because 242304224001 - 25 = 242304223969 is a prime.

It is a super-2 number, since 2×2423042240012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242304226001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198935536 + ... + 198936753.

It is an arithmetic number, because the mean of its divisors is an integer number (23872337400).

Almost surely, 2242304224001 is an apocalyptic number.

242304224001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242304224001 is a deficient number, since it is larger than the sum of its proper divisors (139653174399).

242304224001 is a wasteful number, since it uses less digits than its factorization.

242304224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397872328.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242304224001 its reverse (100422403242), we get a palindrome (342726627243).

The spelling of 242304224001 in words is "two hundred forty-two billion, three hundred four million, two hundred twenty-four thousand, one".

Divisors: 1 3 7 21 29 87 203 609 397872289 1193616867 2785106023 8355318069 11538296381 34614889143 80768074667 242304224001