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20212164 = 2232780207
BaseRepresentation
bin100110100011…
…0100111000100
31102000212212200
41031012213010
520133242124
62001114500
7333541410
oct115064704
942025780
1020212164
1110455775
126928a30
134258b7b
142981d40
151b93bc9
hex13469c4

20212164 has 36 divisors (see below), whose sum is σ = 58391424. Its totient is φ = 5774832.

The previous prime is 20212151. The next prime is 20212183. The reversal of 20212164 is 46121202.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39852 + ... + 40355.

It is an arithmetic number, because the mean of its divisors is an integer number (1621984).

Almost surely, 220212164 is an apocalyptic number.

It is an amenable number.

20212164 is an abundant number, since it is smaller than the sum of its proper divisors (38179260).

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

20212164 is a wasteful number, since it uses less digits than its factorization.

20212164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80224 (or 80219 counting only the distinct ones).

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

The square root of 20212164 is about 4495.7940344282. The cubic root of 20212164 is about 272.3982236424.

Adding to 20212164 its reverse (46121202), we get a palindrome (66333366).

The spelling of 20212164 in words is "twenty million, two hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 80207 160414 240621 320828 481242 561449 721863 962484 1122898 1443726 1684347 2245796 2887452 3368694 5053041 6737388 10106082 20212164