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164200231 = 1321039433
BaseRepresentation
bin10011100100101…
…11111100100111
3102102222020101001
421302113330213
5314013401411
624143214131
74032451606
oct1162277447
9372866331
10164200231
1184761078
1246ba7347
1328031500
1417b43a3d
15e636dc1
hex9c97f27

164200231 has 12 divisors (see below), whose sum is σ = 179547888. Its totient is φ = 150081984.

The previous prime is 164200213. The next prime is 164200241. The reversal of 164200231 is 132002461.

It is not a de Polignac number, because 164200231 - 27 = 164200103 is a prime.

It is a super-2 number, since 2×1642002312 = 53923431720906722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164200199 and 164200208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164200241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12691 + ... + 22123.

It is an arithmetic number, because the mean of its divisors is an integer number (14962324).

Almost surely, 2164200231 is an apocalyptic number.

164200231 is a deficient number, since it is larger than the sum of its proper divisors (15347657).

164200231 is a wasteful number, since it uses less digits than its factorization.

164200231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 164200231 is about 12814.0637972503. The cubic root of 164200231 is about 547.5930421582.

Adding to 164200231 its reverse (132002461), we get a palindrome (296202692).

The spelling of 164200231 in words is "one hundred sixty-four million, two hundred thousand, two hundred thirty-one".

Divisors: 1 13 103 169 1339 9433 17407 122629 971599 1594177 12630787 164200231