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22142111244 = 2231117191912719
BaseRepresentation
bin10100100111110001…
…011100111000001100
32010011010021210110020
4110213301130320030
5330321340024434
614101050142140
71412462561121
oct244761347014
963133253406
1022142111244
11943270a9a0
12435b421950
13211b41b296
1411009b4748
15898d50849
hex527c5ce0c

22142111244 has 192 divisors, whose sum is σ = 63170150400. Its totient is φ = 5949158400.

The previous prime is 22142111237. The next prime is 22142111249. The reversal of 22142111244 is 44211124122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22142111249) 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 63 ways as a sum of consecutive naturals, for example, 8142117 + ... + 8144835.

It is an arithmetic number, because the mean of its divisors is an integer number (329011200).

Almost surely, 222142111244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142111244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585075200).

22142111244 is an abundant number, since it is smaller than the sum of its proper divisors (41028039156).

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

22142111244 is a wasteful number, since it uses less digits than its factorization.

22142111244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 22142111244 its reverse (44211124122), we get a palindrome (66353235366).

It can be divided in two parts, 22142 and 111244, that added together give a triangular number (133386 = T516).

The spelling of 22142111244 in words is "twenty-two billion, one hundred forty-two million, one hundred eleven thousand, two hundred forty-four".