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224305240131 = 3273916190917
BaseRepresentation
bin1101000011100110100…
…0100101100001000011
3210102222012212210221100
43100321220211201003
512133334120141011
6251013331425443
722130331040260
oct3207150454103
9712865783840
10224305240131
1187144507915
123757b455283
13181c892c47b
14abdc096267
155c7c15bd56
hex3439a25843

224305240131 has 24 divisors (see below), whose sum is σ = 370295194464. Its totient is φ = 128169740160.

The previous prime is 224305240039. The next prime is 224305240151. The reversal of 224305240131 is 131042503422.

224305240131 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 0 + 524 + 0 + 131 = 666.

It is not a de Polignac number, because 224305240131 - 213 = 224305231939 is a prime.

It is a super-2 number, since 2×2243052401312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224305240095 and 224305240104.

It is not an unprimeable number, because it can be changed into a prime (224305240151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421685 + ... + 2512601.

It is an arithmetic number, because the mean of its divisors is an integer number (15428966436).

Almost surely, 2224305240131 is an apocalyptic number.

224305240131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

224305240131 is a deficient number, since it is larger than the sum of its proper divisors (145989954333).

224305240131 is a wasteful number, since it uses less digits than its factorization.

224305240131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130091 (or 130088 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 224305240131 its reverse (131042503422), we get a palindrome (355347743553).

The spelling of 224305240131 in words is "two hundred twenty-four billion, three hundred five million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 39161 90917 117483 272751 274127 352449 636419 818253 822381 1909257 2467143 5727771 3560400637 10681201911 24922804459 32043605733 74768413377 224305240131