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20222200121994 = 2321329531493531069
BaseRepresentation
bin1001001100100010110010…
…00011100000101010001010
32122121020000220012020101200
410212101121003200222022
510122310031212400434
6111001541145525030
74155001653630423
oct446213103405212
978536026166350
1020222200121994
1164972068604a2
122327245aa3776
13b38c39a52870
144dca8c8d464a
1525105c2b9199
hex1264590e0a8a

20222200121994 has 384 divisors, whose sum is σ = 50255772840000. Its totient is φ = 5832698167296.

The previous prime is 20222200121993. The next prime is 20222200122017. The reversal of 20222200121994 is 49912100222202.

20222200121994 is a `hidden beast` number, since 20 + 222 + 200 + 121 + 9 + 94 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 2378883623769 + 17843316498225 = 1542363^2 + 4224135^2 .

It is not an unprimeable number, because it can be changed into a prime (20222200121993) 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 191 ways as a sum of consecutive naturals, for example, 18916931292 + ... + 18916932360.

Almost surely, 220222200121994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222200121994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127886420000).

20222200121994 is an abundant number, since it is smaller than the sum of its proper divisors (30033572718006).

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

20222200121994 is a wasteful number, since it uses less digits than its factorization.

20222200121994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20222200121994 in words is "twenty trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, nine hundred ninety-four".