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22404442110030 = 2325614919918387
BaseRepresentation
bin1010001100000011100001…
…10100000011100001001110
32221022211210002111022000100
411012001300310003201032
510414033244140010110
6115352243021111530
74501444650523041
oct506016064034116
987284702438010
1022404442110030
117158741541232
12261a16a3b85a6
13c669645714c6
14576548c2ac58
1528cbce712bc0
hex146070d0384e

22404442110030 has 192 divisors, whose sum is σ = 59394023110656. Its totient is φ = 5857989984000.

The previous prime is 22404442110013. The next prime is 22404442110041. The reversal of 22404442110030 is 3001124440422.

22404442110030 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 444 + 211 + 0 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22404442109976 and 22404442110003.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2671325497 + ... + 2671333883.

It is an arithmetic number, because the mean of its divisors is an integer number (309343870368).

Almost surely, 222404442110030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22404442110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29697011555328).

22404442110030 is an abundant number, since it is smaller than the sum of its proper divisors (36989581000626).

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

22404442110030 is a wasteful number, since it uses less digits than its factorization.

22404442110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22404442110030 its reverse (3001124440422), we get a palindrome (25405566550452).

The spelling of 22404442110030 in words is "twenty-two trillion, four hundred four billion, four hundred forty-two million, one hundred ten thousand, thirty".