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22021606106424 = 233243531014313083
BaseRepresentation
bin1010000000111010011100…
…00000100110010100111000
32212222020121121000021200200
411000131032000212110320
510341300222130401144
6114500330341002200
74432002633265611
oct500351600462470
985866547007620
1022021606106424
1170203465aa421
122577b273b3360
13c39822bb6062
14561bcc436c08
15282c74ad7c69
hex14074e026538

22021606106424 has 384 divisors, whose sum is σ = 62962118968320. Its totient is φ = 6946482816000.

The previous prime is 22021606106393. The next prime is 22021606106459. The reversal of 22021606106424 is 42460160612022.

22021606106424 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 6 + 0 + 6 + 1 + 0 + 642 + 4 = 666.

It is a super-2 number, since 2×220216061064242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7142913187 + ... + 7142916269.

It is an arithmetic number, because the mean of its divisors is an integer number (163963851480).

Almost surely, 222021606106424 is an apocalyptic number.

22021606106424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021606106424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31481059484160).

22021606106424 is an abundant number, since it is smaller than the sum of its proper divisors (40940512861896).

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

22021606106424 is a wasteful number, since it uses less digits than its factorization.

22021606106424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 22021606106424 its reverse (42460160612022), we get a palindrome (64481766718446).

The spelling of 22021606106424 in words is "twenty-two trillion, twenty-one billion, six hundred six million, one hundred six thousand, four hundred twenty-four".