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212216705172 = 22325999913703
BaseRepresentation
bin1100010110100100011…
…0011111000010010100
3202021202202011121110100
43011221012133002110
511434104434031142
6241254020254100
721221633142153
oct3055106370224
9667682147410
10212216705172
118200088565a
1235166b41330
13170203397c4
14a3b27cd59a
1557c0c4db4c
hex316919f094

212216705172 has 36 divisors (see below), whose sum is σ = 545528823840. Its totient is φ = 69539936592.

The previous prime is 212216705171. The next prime is 212216705179. The reversal of 212216705172 is 271507612212.

212216705172 is a `hidden beast` number, since 2 + 122 + 16 + 7 + 0 + 517 + 2 = 666.

212216705172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212216705171) 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, 49954728 + ... + 49958975.

It is an arithmetic number, because the mean of its divisors is an integer number (15153578440).

Almost surely, 2212216705172 is an apocalyptic number.

It is an amenable number.

212216705172 is an abundant number, since it is smaller than the sum of its proper divisors (333312118668).

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

212216705172 is a wasteful number, since it uses less digits than its factorization.

212216705172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99913772 (or 99913767 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 212216705172 in words is "two hundred twelve billion, two hundred sixteen million, seven hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 99913703 199827406 299741109 399654812 599482218 899223327 1198964436 1798446654 3596893308 5894908477 11789816954 17684725431 23579633908 35369450862 53054176293 70738901724 106108352586 212216705172