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22144421141 = 292299773413
BaseRepresentation
bin10100100111111010…
…010000110100010101
32010011021122011000222
4110213322100310111
5330322432434031
614101211444125
71412521321403
oct244772206425
963137564028
1022144421141
119433a483a7
124360156645
13211ba4979b
141101016473
15899159e7b
hex527e90d15

22144421141 has 16 divisors (see below), whose sum is σ = 23038354800. Its totient is φ = 21259435008.

The previous prime is 22144421129. The next prime is 22144421147. The reversal of 22144421141 is 14112444122.

It can be written as a sum of positive squares in 8 ways, for example, as 11601444100 + 10542977041 = 107710^2 + 102679^2 .

It is a cyclic number.

It is not a de Polignac number, because 22144421141 - 26 = 22144421077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22144421141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144421147) 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 15 ways as a sum of consecutive naturals, for example, 6486551 + ... + 6489963.

It is an arithmetic number, because the mean of its divisors is an integer number (1439897175).

Almost surely, 222144421141 is an apocalyptic number.

It is an amenable number.

22144421141 is a deficient number, since it is larger than the sum of its proper divisors (893933659).

22144421141 is a wasteful number, since it uses less digits than its factorization.

22144421141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its digits is 2048, while the sum is 26.

Adding to 22144421141 its reverse (14112444122), we get a palindrome (36256865263).

The spelling of 22144421141 in words is "twenty-two billion, one hundred forty-four million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 29 229 977 3413 6641 28333 98977 223733 781577 3334501 6488257 22665733 96700529 763600729 22144421141