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164300214 = 231367149211
BaseRepresentation
bin10011100101100…
…00010110110110
3102110011022112010
421302300112312
5314030101324
624145305050
74033346241
oct1162602666
9373138463
10164300214
118481a201
1247035186
1328067b80
1417b6c258
15e656829
hex9cb05b6

164300214 has 64 divisors (see below), whose sum is σ = 363283200. Its totient is φ = 49230720.

The previous prime is 164300207. The next prime is 164300219. The reversal of 164300214 is 412003461.

164300214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164300219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778569 + ... + 778779.

It is an arithmetic number, because the mean of its divisors is an integer number (5676300).

Almost surely, 2164300214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164300214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181641600).

164300214 is an abundant number, since it is smaller than the sum of its proper divisors (198982986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164300214 is a wasteful number, since it uses less digits than its factorization.

164300214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164300214 is about 12817.9645029934. The cubic root of 164300214 is about 547.7041643858.

Adding to 164300214 its reverse (412003461), we get a palindrome (576303675).

The spelling of 164300214 in words is "one hundred sixty-four million, three hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 149 201 211 298 402 422 447 633 871 894 1266 1742 1937 2613 2743 3874 5226 5486 5811 8229 9983 11622 14137 16458 19966 28274 29949 31439 42411 59898 62878 84822 94317 129779 183781 188634 259558 367562 389337 408707 551343 778674 817414 1102686 1226121 2106413 2452242 4212826 6319239 12638478 27383369 54766738 82150107 164300214