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20164221 = 347115361
BaseRepresentation
bin100110011101…
…0111001111101
31101221110010000
41030322321331
520130223341
62000104513
7333251550
oct114727175
941843100
1020164221
1110422750
126905139
1342400bc
14296c697
151b848b6
hex133ae7d

20164221 has 80 divisors (see below), whose sum is σ = 38890368. Its totient is φ = 10108800.

The previous prime is 20164219. The next prime is 20164231. The reversal of 20164221 is 12246102.

20164221 is a `hidden beast` number, since 2 + 0 + 1 + 642 + 21 = 666.

It is not a de Polignac number, because 20164221 - 21 = 20164219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20164194 and 20164203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 330531 + ... + 330591.

Almost surely, 220164221 is an apocalyptic number.

20164221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20164221 is a deficient number, since it is larger than the sum of its proper divisors (18726147).

20164221 is a wasteful number, since it uses less digits than its factorization.

20164221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20164221 is about 4490.4588852366. The cubic root of 20164221 is about 272.1826780698.

The spelling of 20164221 in words is "twenty million, one hundred sixty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 53 61 63 77 81 99 159 183 189 231 297 371 427 477 549 567 583 671 693 891 1113 1281 1431 1647 1749 2013 2079 3233 3339 3843 4081 4293 4697 4941 5247 6039 6237 9699 10017 11529 12243 14091 15741 18117 22631 29097 30051 34587 35563 36729 42273 47223 54351 67893 87291 106689 110187 126819 203679 248941 261873 320067 330561 380457 611037 746823 960201 1833111 2240469 2880603 6721407 20164221