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218131790229 = 3224236865581
BaseRepresentation
bin1100101100100110101…
…0101111100110010101
3202212000222110001201200
43023021222233212111
512033213214241404
6244113001143113
721521336424123
oct3131152574625
9685028401650
10218131790229
1184566788601
1236337a8aa99
1317753944032
14a7b4216913
155a1a1b1839
hex32c9aaf995

218131790229 has 6 divisors (see below), whose sum is σ = 315079252566. Its totient is φ = 145421193480.

The previous prime is 218131790221. The next prime is 218131790237. The reversal of 218131790229 is 922097131812.

218131790229 is a `hidden beast` number, since 21 + 8 + 1 + 317 + 90 + 229 = 666.

It is an interprime number because it is at equal distance from previous prime (218131790221) and next prime (218131790237).

It can be written as a sum of positive squares in only one way, i.e., 215987915025 + 2143875204 = 464745^2 + 46302^2 .

It is not a de Polignac number, because 218131790229 - 23 = 218131790221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218131790221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12118432782 + ... + 12118432799.

It is an arithmetic number, because the mean of its divisors is an integer number (52513208761).

Almost surely, 2218131790229 is an apocalyptic number.

It is an amenable number.

218131790229 is a deficient number, since it is larger than the sum of its proper divisors (96947462337).

218131790229 is a wasteful number, since it uses less digits than its factorization.

218131790229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236865587 (or 24236865584 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 218131790229 in words is "two hundred eighteen billion, one hundred thirty-one million, seven hundred ninety thousand, two hundred twenty-nine".

Divisors: 1 3 9 24236865581 72710596743 218131790229