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221222200021002 = 23237332165465497
BaseRepresentation
bin110010010011001101001110…
…101001100001000000001010
31002000021122011111001120220200
4302103031032221201000022
5212444001031201133002
62102300024203433030
764411530226163655
oct6223151651410012
91060248144046820
10221222200021002
116454089872a874
122098a417225776
1396592192732cb
143c8b2d693689c
151a8976ca9eb1c
hexc9334ea6100a

221222200021002 has 24 divisors (see below), whose sum is σ = 492269219868036. Its totient is φ = 71747740547136.

The previous prime is 221222200020959. The next prime is 221222200021063. The reversal of 221222200021002 is 200120002222122.

221222200021002 is a `hidden beast` number, since 221 + 222 + 200 + 0 + 21 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201507081511761 + 19715118509241 = 14195319^2 + 4440171^2 .

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166082732083 + ... + 166082733414.

Almost surely, 2221222200021002 is an apocalyptic number.

221222200021002 is an abundant number, since it is smaller than the sum of its proper divisors (271047019847034).

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

221222200021002 is a wasteful number, since it uses less digits than its factorization.

221222200021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332165465542 (or 332165465539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222200021002 its reverse (200120002222122), we get a palindrome (421342202243124).

The spelling of 221222200021002 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 332165465497 664330930994 996496396491 1992992792982 2989489189473 5978978378946 12290122223389 24580244446778 36870366670167 73740733340334 110611100010501 221222200021002