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221222201199966 = 23315166614073039
BaseRepresentation
bin110010010011001101001110…
…101110000000110101011110
31002000021122011120021111011000
4302103031032232000311132
5212444001032001344331
62102300024245011130
764411530242204121
oct6223151656006536
91060248146244130
10221222201199966
116454089936561a
122098a4176b3aa6
139659219596b15
143c8b2d6b623b8
151a8976cc340e6
hexc9334eb80d5e

221222201199966 has 64 divisors (see below), whose sum is σ = 494934966835200. Its totient is φ = 73241369316000.

The previous prime is 221222201199949. The next prime is 221222201199977. The reversal of 221222201199966 is 669991102222122.

221222201199966 is a `hidden beast` number, since 2 + 21 + 222 + 201 + 199 + 9 + 6 + 6 = 666.

221222201199966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52277275 + ... + 56350313.

It is an arithmetic number, because the mean of its divisors is an integer number (7733358856800).

Almost surely, 2221222201199966 is an apocalyptic number.

221222201199966 is an abundant number, since it is smaller than the sum of its proper divisors (273712765635234).

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

221222201199966 is a wasteful number, since it uses less digits than its factorization.

221222201199966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079862 (or 4079856 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 221222201199966 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 151 302 453 906 1359 2718 4077 6661 8154 13322 19983 39966 59949 119898 179847 359694 1005811 2011622 3017433 4073039 6034866 8146078 9052299 12219117 18104598 24438234 27156897 36657351 54313794 73314702 109972053 219944106 615028889 1230057778 1845086667 3690173334 5535260001 11070520002 16605780003 27130512779 33211560006 54261025558 81391538337 162783076674 244174615011 488349230022 732523845033 1465047690066 4096707429629 8193414859258 12290122288887 24580244577774 36870366866661 73740733733322 110611100599983 221222201199966