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216000164 = 22175715563
BaseRepresentation
bin11001101111111…
…10011010100100
3120001102221112002
430313332122210
5420244001124
633233344432
75231654042
oct1467763244
9501387462
10216000164
11100a21136
1260408118
1335999c63
1420989392
1513e6a0ae
hexcdfe6a4

216000164 has 24 divisors (see below), whose sum is σ = 401008608. Its totient is φ = 101450880.

The previous prime is 216000139. The next prime is 216000179. The reversal of 216000164 is 461000612.

It is a happy number.

216000164 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

216000164 is strictly pandigital in base 9.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36047 + ... + 41609.

It is an arithmetic number, because the mean of its divisors is an integer number (16708692).

Almost surely, 2216000164 is an apocalyptic number.

It is an amenable number.

216000164 is a deficient number, since it is larger than the sum of its proper divisors (185008444).

216000164 is a wasteful number, since it uses less digits than its factorization.

216000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 216000164 is about 14696.9440360913. The cubic root of 216000164 is about 600.0001518518. Note that the first 3 decimals are identical.

Adding to 216000164 its reverse (461000612), we get a palindrome (677000776).

The spelling of 216000164 in words is "two hundred sixteen million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 17 34 68 571 1142 2284 5563 9707 11126 19414 22252 38828 94571 189142 378284 3176473 6352946 12705892 54000041 108000082 216000164