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221213212209 = 321131720393457
BaseRepresentation
bin1100111000000101010…
…1011011111000110001
3210010222201200112000200
43032001111123320301
512111021040242314
6245342434505413
721660604164513
oct3160125337061
9703881615020
10221213212209
11858a8100540
1236a57a35269
1317b25165c52
14a9c7575bb3
155b4a98a709
hex338155be31

221213212209 has 48 divisors (see below), whose sum is σ = 349950706560. Its totient is φ = 133541498880.

The previous prime is 221213212193. The next prime is 221213212211. The reversal of 221213212209 is 902212312122.

221213212209 is a `hidden beast` number, since 221 + 21 + 3 + 212 + 209 = 666.

221213212209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221213212209 - 24 = 221213212193 is a prime.

It is a super-3 number, since 3×2212132122093 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221213213209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63988209 + ... + 63991665.

It is an arithmetic number, because the mean of its divisors is an integer number (7290639720).

Almost surely, 2221213212209 is an apocalyptic number.

It is an amenable number.

221213212209 is a deficient number, since it is larger than the sum of its proper divisors (128737494351).

221213212209 is a wasteful number, since it uses less digits than its factorization.

221213212209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 221213212209 in words is "two hundred twenty-one billion, two hundred thirteen million, two hundred twelve thousand, two hundred nine".

Divisors: 1 3 9 11 33 99 317 951 2039 2853 3457 3487 6117 10371 10461 18351 22429 31113 31383 38027 67287 114081 201861 342243 646363 1095869 1939089 3287607 5817267 7048823 7109993 9862821 12054559 21146469 21329979 36163677 63439407 63989937 77537053 108491031 232611159 697833477 2234476891 6703430673 20110292019 24579245801 73737737403 221213212209