Search a number
-
+
222212540331 = 32231099848537
BaseRepresentation
bin1100111011110011100…
…1100100011110101011
3210020120101002122111100
43032330321210132223
512120042402242311
6250025533532443
722024430266545
oct3167471443653
9706511078440
10222212540331
1186270205551
1237096644123
1317c541c9372
14aa8018a695
155ba8587a56
hex33bce647ab

222212540331 has 24 divisors (see below), whose sum is σ = 338001824160. Its totient is φ = 140400729216.

The previous prime is 222212540327. The next prime is 222212540357. The reversal of 222212540331 is 133045212222.

222212540331 is a `hidden beast` number, since 2 + 2 + 221 + 2 + 5 + 403 + 31 = 666.

It is not a de Polignac number, because 222212540331 - 22 = 222212540327 is a prime.

It is a super-2 number, since 2×2222125403312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222212540295 and 222212540304.

It is not an unprimeable number, because it can be changed into a prime (222212540311) 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, 4901706 + ... + 4946831.

It is an arithmetic number, because the mean of its divisors is an integer number (14083409340).

Almost surely, 2222212540331 is an apocalyptic number.

222212540331 is a deficient number, since it is larger than the sum of its proper divisors (115789283829).

222212540331 is a wasteful number, since it uses less digits than its factorization.

222212540331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848675 (or 9848672 counting only the distinct ones).

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

Adding to 222212540331 its reverse (133045212222), we get a palindrome (355257752553).

The spelling of 222212540331 in words is "two hundred twenty-two billion, two hundred twelve million, five hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 109 207 327 981 2507 7521 22563 9848537 29545611 88636833 226516351 679549053 1073490533 2038647159 3220471599 9661414797 24690282259 74070846777 222212540331