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21222122199966 = 2323484633383449
BaseRepresentation
bin1001101001101001010010…
…00011100001101110011110
32210010211000011222210221200
410310310221003201232132
510240200401240344331
6113045150334140330
74320150654226512
oct464645103415636
983124004883850
1021222122199966
1168422847a4416
122468ba59516a6
13bac311b37a9c
14535228856142
1526c081c8c5e6
hex134d290e1b9e

21222122199966 has 24 divisors (see below), whose sum is σ = 45981410311200. Its totient is φ = 7074018341856.

The previous prime is 21222122199961. The next prime is 21222122200009. The reversal of 21222122199966 is 66999122122212.

21222122199966 is a `hidden beast` number, since 2 + 122 + 212 + 219 + 9 + 96 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222122199961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4580610 + ... + 7964058.

It is an arithmetic number, because the mean of its divisors is an integer number (1915892096300).

Almost surely, 221222122199966 is an apocalyptic number.

21222122199966 is an abundant number, since it is smaller than the sum of its proper divisors (24759288111234).

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

21222122199966 is a wasteful number, since it uses less digits than its factorization.

21222122199966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731920 (or 3731917 counting only the distinct ones).

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

The spelling of 21222122199966 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 348463 696926 1045389 2090778 3136167 3383449 6272334 6766898 10150347 20300694 30451041 60902082 1179006788887 2358013577774 3537020366661 7074040733322 10611061099983 21222122199966